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Finding the Third Proportional to 61,652.25 and 134,718.75

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Solution

The third proportional to 61,652.25 and 134,718.75 is: 294,379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,652.25 : 134,718.75 = 134,718.75 : x
  2. Step 2: Convert to fraction form
    61,652.25/134,718.75 = 134,718.75/x
  3. Step 3: Cross multiply
    61,652.25x = 134,718.75 × 134,718.75
  4. Step 4: Simplify right side
    61,652.25x = 18,149,141,601.56
  5. Step 5: Solve for x
    x = 18,149,141,601.56/61,652.25
  6. Step 6: Final answer
    x = 294,379.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.