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Finding the Third Proportional to 124,287 and 175,698

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Solution

The third proportional to 124,287 and 175,698 is: 248,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,287 : 175,698 = 175,698 : x
  2. Step 2: Convert to fraction form
    124,287/175,698 = 175,698/x
  3. Step 3: Cross multiply
    124,287x = 175,698 × 175,698
  4. Step 4: Simplify right side
    124,287x = 30,869,787,204
  5. Step 5: Solve for x
    x = 30,869,787,204/124,287
  6. Step 6: Final answer
    x = 248,375.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.