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Finding the Third Proportional to 71,142 and 95,160

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Solution

The third proportional to 71,142 and 95,160 is: 127,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,142 : 95,160 = 95,160 : x
  2. Step 2: Convert to fraction form
    71,142/95,160 = 95,160/x
  3. Step 3: Cross multiply
    71,142x = 95,160 × 95,160
  4. Step 4: Simplify right side
    71,142x = 9,055,425,600
  5. Step 5: Solve for x
    x = 9,055,425,600/71,142
  6. Step 6: Final answer
    x = 127,286.63

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.