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Finding the Third Proportional to 60,160 and 129,854

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Solution

The third proportional to 60,160 and 129,854 is: 280,286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,160 : 129,854 = 129,854 : x
  2. Step 2: Convert to fraction form
    60,160/129,854 = 129,854/x
  3. Step 3: Cross multiply
    60,160x = 129,854 × 129,854
  4. Step 4: Simplify right side
    60,160x = 16,862,061,316
  5. Step 5: Solve for x
    x = 16,862,061,316/60,160
  6. Step 6: Final answer
    x = 280,286.92

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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.