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Finding the Third Proportional to 60,098 and 132,484

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Solution

The third proportional to 60,098 and 132,484 is: 292,056.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,098 : 132,484 = 132,484 : x
  2. Step 2: Convert to fraction form
    60,098/132,484 = 132,484/x
  3. Step 3: Cross multiply
    60,098x = 132,484 × 132,484
  4. Step 4: Simplify right side
    60,098x = 17,552,010,256
  5. Step 5: Solve for x
    x = 17,552,010,256/60,098
  6. Step 6: Final answer
    x = 292,056.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.