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Finding the Third Proportional to 60,301 and 132,632

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Solution

The third proportional to 60,301 and 132,632 is: 291,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,301 : 132,632 = 132,632 : x
  2. Step 2: Convert to fraction form
    60,301/132,632 = 132,632/x
  3. Step 3: Cross multiply
    60,301x = 132,632 × 132,632
  4. Step 4: Simplify right side
    60,301x = 17,591,247,424
  5. Step 5: Solve for x
    x = 17,591,247,424/60,301
  6. Step 6: Final answer
    x = 291,723.98

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