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Finding the Third Proportional to 60,716 and 131,414

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Solution

The third proportional to 60,716 and 131,414 is: 284,433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,716 : 131,414 = 131,414 : x
  2. Step 2: Convert to fraction form
    60,716/131,414 = 131,414/x
  3. Step 3: Cross multiply
    60,716x = 131,414 × 131,414
  4. Step 4: Simplify right side
    60,716x = 17,269,639,396
  5. Step 5: Solve for x
    x = 17,269,639,396/60,716
  6. Step 6: Final answer
    x = 284,433.09

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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.