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Finding the Third Proportional to 32,319 and 71,118

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Solution

The third proportional to 32,319 and 71,118 is: 156,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,319 : 71,118 = 71,118 : x
  2. Step 2: Convert to fraction form
    32,319/71,118 = 71,118/x
  3. Step 3: Cross multiply
    32,319x = 71,118 × 71,118
  4. Step 4: Simplify right side
    32,319x = 5,057,769,924
  5. Step 5: Solve for x
    x = 5,057,769,924/32,319
  6. Step 6: Final answer
    x = 156,495.25

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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.