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Finding the Third Proportional to 59,782 and 129,446

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Solution

The third proportional to 59,782 and 129,446 is: 280,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,782 : 129,446 = 129,446 : x
  2. Step 2: Convert to fraction form
    59,782/129,446 = 129,446/x
  3. Step 3: Cross multiply
    59,782x = 129,446 × 129,446
  4. Step 4: Simplify right side
    59,782x = 16,756,266,916
  5. Step 5: Solve for x
    x = 16,756,266,916/59,782
  6. Step 6: Final answer
    x = 280,289.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.