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Finding the Third Proportional to 71,252 and 153,922

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Solution

The third proportional to 71,252 and 153,922 is: 332,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,252 : 153,922 = 153,922 : x
  2. Step 2: Convert to fraction form
    71,252/153,922 = 153,922/x
  3. Step 3: Cross multiply
    71,252x = 153,922 × 153,922
  4. Step 4: Simplify right side
    71,252x = 23,691,982,084
  5. Step 5: Solve for x
    x = 23,691,982,084/71,252
  6. Step 6: Final answer
    x = 332,509.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.