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Finding the Third Proportional to 52,190 and 76,398

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Solution

The third proportional to 52,190 and 76,398 is: 111,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,190 : 76,398 = 76,398 : x
  2. Step 2: Convert to fraction form
    52,190/76,398 = 76,398/x
  3. Step 3: Cross multiply
    52,190x = 76,398 × 76,398
  4. Step 4: Simplify right side
    52,190x = 5,836,654,404
  5. Step 5: Solve for x
    x = 5,836,654,404/52,190
  6. Step 6: Final answer
    x = 111,834.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.