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Finding the Third Proportional to 71,144 and 95,452

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Solution

The third proportional to 71,144 and 95,452 is: 128,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,144 : 95,452 = 95,452 : x
  2. Step 2: Convert to fraction form
    71,144/95,452 = 95,452/x
  3. Step 3: Cross multiply
    71,144x = 95,452 × 95,452
  4. Step 4: Simplify right side
    71,144x = 9,111,084,304
  5. Step 5: Solve for x
    x = 9,111,084,304/71,144
  6. Step 6: Final answer
    x = 128,065.39

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Why These Related Problems?

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