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Finding the Third Proportional to 60,676 and 132,680

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Solution

The third proportional to 60,676 and 132,680 is: 290,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,676 : 132,680 = 132,680 : x
  2. Step 2: Convert to fraction form
    60,676/132,680 = 132,680/x
  3. Step 3: Cross multiply
    60,676x = 132,680 × 132,680
  4. Step 4: Simplify right side
    60,676x = 17,603,982,400
  5. Step 5: Solve for x
    x = 17,603,982,400/60,676
  6. Step 6: Final answer
    x = 290,130.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.