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Finding the Third Proportional to 32,169 and 70,883

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Solution

The third proportional to 32,169 and 70,883 is: 156,187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169 : 70,883 = 70,883 : x
  2. Step 2: Convert to fraction form
    32,169/70,883 = 70,883/x
  3. Step 3: Cross multiply
    32,169x = 70,883 × 70,883
  4. Step 4: Simplify right side
    32,169x = 5,024,399,689
  5. Step 5: Solve for x
    x = 5,024,399,689/32,169
  6. Step 6: Final answer
    x = 156,187.62

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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.