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Finding the Third Proportional to 107,785 and 144,999.75

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Solution

The third proportional to 107,785 and 144,999.75 is: 195,063.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,785 : 144,999.75 = 144,999.75 : x
  2. Step 2: Convert to fraction form
    107,785/144,999.75 = 144,999.75/x
  3. Step 3: Cross multiply
    107,785x = 144,999.75 × 144,999.75
  4. Step 4: Simplify right side
    107,785x = 21,024,927,500.06
  5. Step 5: Solve for x
    x = 21,024,927,500.06/107,785
  6. Step 6: Final answer
    x = 195,063.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.