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Finding the Third Proportional to 124,897 and 187,349

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Solution

The third proportional to 124,897 and 187,349 is: 281,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,897 : 187,349 = 187,349 : x
  2. Step 2: Convert to fraction form
    124,897/187,349 = 187,349/x
  3. Step 3: Cross multiply
    124,897x = 187,349 × 187,349
  4. Step 4: Simplify right side
    124,897x = 35,099,647,801
  5. Step 5: Solve for x
    x = 35,099,647,801/124,897
  6. Step 6: Final answer
    x = 281,028.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.