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Finding the Third Proportional to 81,544 and 125,494

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Solution

The third proportional to 81,544 and 125,494 is: 193,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,544 : 125,494 = 125,494 : x
  2. Step 2: Convert to fraction form
    81,544/125,494 = 125,494/x
  3. Step 3: Cross multiply
    81,544x = 125,494 × 125,494
  4. Step 4: Simplify right side
    81,544x = 15,748,744,036
  5. Step 5: Solve for x
    x = 15,748,744,036/81,544
  6. Step 6: Final answer
    x = 193,131.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.