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Finding the Third Proportional to 124,682 and 175,375

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Solution

The third proportional to 124,682 and 175,375 is: 246,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,682 : 175,375 = 175,375 : x
  2. Step 2: Convert to fraction form
    124,682/175,375 = 175,375/x
  3. Step 3: Cross multiply
    124,682x = 175,375 × 175,375
  4. Step 4: Simplify right side
    124,682x = 30,756,390,625
  5. Step 5: Solve for x
    x = 30,756,390,625/124,682
  6. Step 6: Final answer
    x = 246,678.68

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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.