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Finding the Third Proportional to 32,334 and 71,040

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Solution

The third proportional to 32,334 and 71,040 is: 156,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,334 : 71,040 = 71,040 : x
  2. Step 2: Convert to fraction form
    32,334/71,040 = 71,040/x
  3. Step 3: Cross multiply
    32,334x = 71,040 × 71,040
  4. Step 4: Simplify right side
    32,334x = 5,046,681,600
  5. Step 5: Solve for x
    x = 5,046,681,600/32,334
  6. Step 6: Final answer
    x = 156,079.72

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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.