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Finding the Third Proportional to 62,597 and 135,382

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Solution

The third proportional to 62,597 and 135,382 is: 292,798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,597 : 135,382 = 135,382 : x
  2. Step 2: Convert to fraction form
    62,597/135,382 = 135,382/x
  3. Step 3: Cross multiply
    62,597x = 135,382 × 135,382
  4. Step 4: Simplify right side
    62,597x = 18,328,285,924
  5. Step 5: Solve for x
    x = 18,328,285,924/62,597
  6. Step 6: Final answer
    x = 292,798.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.