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Finding the Third Proportional to 60,872 and 132,815

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Solution

The third proportional to 60,872 and 132,815 is: 289,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,872 : 132,815 = 132,815 : x
  2. Step 2: Convert to fraction form
    60,872/132,815 = 132,815/x
  3. Step 3: Cross multiply
    60,872x = 132,815 × 132,815
  4. Step 4: Simplify right side
    60,872x = 17,639,824,225
  5. Step 5: Solve for x
    x = 17,639,824,225/60,872
  6. Step 6: Final answer
    x = 289,785.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.