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Finding the Third Proportional to 95,873 and 127,725

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Solution

The third proportional to 95,873 and 127,725 is: 170,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,873 : 127,725 = 127,725 : x
  2. Step 2: Convert to fraction form
    95,873/127,725 = 127,725/x
  3. Step 3: Cross multiply
    95,873x = 127,725 × 127,725
  4. Step 4: Simplify right side
    95,873x = 16,313,675,625
  5. Step 5: Solve for x
    x = 16,313,675,625/95,873
  6. Step 6: Final answer
    x = 170,159.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.