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Finding the Third Proportional to 60,569 and 132,677

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Solution

The third proportional to 60,569 and 132,677 is: 290,630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,569 : 132,677 = 132,677 : x
  2. Step 2: Convert to fraction form
    60,569/132,677 = 132,677/x
  3. Step 3: Cross multiply
    60,569x = 132,677 × 132,677
  4. Step 4: Simplify right side
    60,569x = 17,603,186,329
  5. Step 5: Solve for x
    x = 17,603,186,329/60,569
  6. Step 6: Final answer
    x = 290,630.29

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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.