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Finding the Third Proportional to 71,012 and 96,150

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Solution

The third proportional to 71,012 and 96,150 is: 130,186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,012 : 96,150 = 96,150 : x
  2. Step 2: Convert to fraction form
    71,012/96,150 = 96,150/x
  3. Step 3: Cross multiply
    71,012x = 96,150 × 96,150
  4. Step 4: Simplify right side
    71,012x = 9,244,822,500
  5. Step 5: Solve for x
    x = 9,244,822,500/71,012
  6. Step 6: Final answer
    x = 130,186.76

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.