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Finding the Third Proportional to 62,196.75 and 128,085.75

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Solution

The third proportional to 62,196.75 and 128,085.75 is: 263,775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,196.75 : 128,085.75 = 128,085.75 : x
  2. Step 2: Convert to fraction form
    62,196.75/128,085.75 = 128,085.75/x
  3. Step 3: Cross multiply
    62,196.75x = 128,085.75 × 128,085.75
  4. Step 4: Simplify right side
    62,196.75x = 16,405,959,353.06
  5. Step 5: Solve for x
    x = 16,405,959,353.06/62,196.75
  6. Step 6: Final answer
    x = 263,775.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.