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Finding the Third Proportional to 62,782 and 135,524

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Solution

The third proportional to 62,782 and 135,524 is: 292,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,782 : 135,524 = 135,524 : x
  2. Step 2: Convert to fraction form
    62,782/135,524 = 135,524/x
  3. Step 3: Cross multiply
    62,782x = 135,524 × 135,524
  4. Step 4: Simplify right side
    62,782x = 18,366,754,576
  5. Step 5: Solve for x
    x = 18,366,754,576/62,782
  6. Step 6: Final answer
    x = 292,548.10

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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.