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Finding the Third Proportional to 60,532 and 133,008

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Solution

The third proportional to 60,532 and 133,008 is: 292,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,532 : 133,008 = 133,008 : x
  2. Step 2: Convert to fraction form
    60,532/133,008 = 133,008/x
  3. Step 3: Cross multiply
    60,532x = 133,008 × 133,008
  4. Step 4: Simplify right side
    60,532x = 17,691,128,064
  5. Step 5: Solve for x
    x = 17,691,128,064/60,532
  6. Step 6: Final answer
    x = 292,260.76

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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.