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Finding the Third Proportional to 59,494 and 129,356

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Solution

The third proportional to 59,494 and 129,356 is: 281,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,494 : 129,356 = 129,356 : x
  2. Step 2: Convert to fraction form
    59,494/129,356 = 129,356/x
  3. Step 3: Cross multiply
    59,494x = 129,356 × 129,356
  4. Step 4: Simplify right side
    59,494x = 16,732,974,736
  5. Step 5: Solve for x
    x = 16,732,974,736/59,494
  6. Step 6: Final answer
    x = 281,254.83

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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.