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Finding the Third Proportional to 32,359 and 71,063

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Solution

The third proportional to 32,359 and 71,063 is: 156,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,359 : 71,063 = 71,063 : x
  2. Step 2: Convert to fraction form
    32,359/71,063 = 71,063/x
  3. Step 3: Cross multiply
    32,359x = 71,063 × 71,063
  4. Step 4: Simplify right side
    32,359x = 5,049,949,969
  5. Step 5: Solve for x
    x = 5,049,949,969/32,359
  6. Step 6: Final answer
    x = 156,060.14

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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.