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Finding the Third Proportional to 32,350 and 71,216

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Solution

The third proportional to 32,350 and 71,216 is: 156,776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,350 : 71,216 = 71,216 : x
  2. Step 2: Convert to fraction form
    32,350/71,216 = 71,216/x
  3. Step 3: Cross multiply
    32,350x = 71,216 × 71,216
  4. Step 4: Simplify right side
    32,350x = 5,071,718,656
  5. Step 5: Solve for x
    x = 5,071,718,656/32,350
  6. Step 6: Final answer
    x = 156,776.47

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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.