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Finding the Third Proportional to 60,665 and 132,337

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Solution

The third proportional to 60,665 and 132,337 is: 288,685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,665 : 132,337 = 132,337 : x
  2. Step 2: Convert to fraction form
    60,665/132,337 = 132,337/x
  3. Step 3: Cross multiply
    60,665x = 132,337 × 132,337
  4. Step 4: Simplify right side
    60,665x = 17,513,081,569
  5. Step 5: Solve for x
    x = 17,513,081,569/60,665
  6. Step 6: Final answer
    x = 288,685.10

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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.