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Finding the Third Proportional to 95,020 and 150,452

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Solution

The third proportional to 95,020 and 150,452 is: 238,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,020 : 150,452 = 150,452 : x
  2. Step 2: Convert to fraction form
    95,020/150,452 = 150,452/x
  3. Step 3: Cross multiply
    95,020x = 150,452 × 150,452
  4. Step 4: Simplify right side
    95,020x = 22,635,804,304
  5. Step 5: Solve for x
    x = 22,635,804,304/95,020
  6. Step 6: Final answer
    x = 238,221.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.