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Finding the Third Proportional to 32,753 and 71,068

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Solution

The third proportional to 32,753 and 71,068 is: 154,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,753 : 71,068 = 71,068 : x
  2. Step 2: Convert to fraction form
    32,753/71,068 = 71,068/x
  3. Step 3: Cross multiply
    32,753x = 71,068 × 71,068
  4. Step 4: Simplify right side
    32,753x = 5,050,660,624
  5. Step 5: Solve for x
    x = 5,050,660,624/32,753
  6. Step 6: Final answer
    x = 154,204.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.