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Finding the Third Proportional to 60,220 and 132,424

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Solution

The third proportional to 60,220 and 132,424 is: 291,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,220 : 132,424 = 132,424 : x
  2. Step 2: Convert to fraction form
    60,220/132,424 = 132,424/x
  3. Step 3: Cross multiply
    60,220x = 132,424 × 132,424
  4. Step 4: Simplify right side
    60,220x = 17,536,115,776
  5. Step 5: Solve for x
    x = 17,536,115,776/60,220
  6. Step 6: Final answer
    x = 291,200.86

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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.