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Finding the Third Proportional to 54,302 and 95,725

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Solution

The third proportional to 54,302 and 95,725 is: 168,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,302 : 95,725 = 95,725 : x
  2. Step 2: Convert to fraction form
    54,302/95,725 = 95,725/x
  3. Step 3: Cross multiply
    54,302x = 95,725 × 95,725
  4. Step 4: Simplify right side
    54,302x = 9,163,275,625
  5. Step 5: Solve for x
    x = 9,163,275,625/54,302
  6. Step 6: Final answer
    x = 168,746.56

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.