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Finding the Third Proportional to 60,627 and 132,267

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Solution

The third proportional to 60,627 and 132,267 is: 288,560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,627 : 132,267 = 132,267 : x
  2. Step 2: Convert to fraction form
    60,627/132,267 = 132,267/x
  3. Step 3: Cross multiply
    60,627x = 132,267 × 132,267
  4. Step 4: Simplify right side
    60,627x = 17,494,559,289
  5. Step 5: Solve for x
    x = 17,494,559,289/60,627
  6. Step 6: Final answer
    x = 288,560.53

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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.