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Finding the Third Proportional to 32,990 and 71,902

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Solution

The third proportional to 32,990 and 71,902 is: 156,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,990 : 71,902 = 71,902 : x
  2. Step 2: Convert to fraction form
    32,990/71,902 = 71,902/x
  3. Step 3: Cross multiply
    32,990x = 71,902 × 71,902
  4. Step 4: Simplify right side
    32,990x = 5,169,897,604
  5. Step 5: Solve for x
    x = 5,169,897,604/32,990
  6. Step 6: Final answer
    x = 156,711.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.