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Finding the Third Proportional to 60,691 and 132,033

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Solution

The third proportional to 60,691 and 132,033 is: 287,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,691 : 132,033 = 132,033 : x
  2. Step 2: Convert to fraction form
    60,691/132,033 = 132,033/x
  3. Step 3: Cross multiply
    60,691x = 132,033 × 132,033
  4. Step 4: Simplify right side
    60,691x = 17,432,713,089
  5. Step 5: Solve for x
    x = 17,432,713,089/60,691
  6. Step 6: Final answer
    x = 287,237.20

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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.