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Finding the Third Proportional to 59,432 and 129,524

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Solution

The third proportional to 59,432 and 129,524 is: 282,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,432 : 129,524 = 129,524 : x
  2. Step 2: Convert to fraction form
    59,432/129,524 = 129,524/x
  3. Step 3: Cross multiply
    59,432x = 129,524 × 129,524
  4. Step 4: Simplify right side
    59,432x = 16,776,466,576
  5. Step 5: Solve for x
    x = 16,776,466,576/59,432
  6. Step 6: Final answer
    x = 282,280.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.