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Finding the Third Proportional to 71,144 and 95,472

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Solution

The third proportional to 71,144 and 95,472 is: 128,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,144 : 95,472 = 95,472 : x
  2. Step 2: Convert to fraction form
    71,144/95,472 = 95,472/x
  3. Step 3: Cross multiply
    71,144x = 95,472 × 95,472
  4. Step 4: Simplify right side
    71,144x = 9,114,902,784
  5. Step 5: Solve for x
    x = 9,114,902,784/71,144
  6. Step 6: Final answer
    x = 128,119.07

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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.