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Finding the Third Proportional to 60,638 and 132,289

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Solution

The third proportional to 60,638 and 132,289 is: 288,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,638 : 132,289 = 132,289 : x
  2. Step 2: Convert to fraction form
    60,638/132,289 = 132,289/x
  3. Step 3: Cross multiply
    60,638x = 132,289 × 132,289
  4. Step 4: Simplify right side
    60,638x = 17,500,379,521
  5. Step 5: Solve for x
    x = 17,500,379,521/60,638
  6. Step 6: Final answer
    x = 288,604.17

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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.