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Finding the Third Proportional to 125,017 and 187,539

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Solution

The third proportional to 125,017 and 187,539 is: 281,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,017 : 187,539 = 187,539 : x
  2. Step 2: Convert to fraction form
    125,017/187,539 = 187,539/x
  3. Step 3: Cross multiply
    125,017x = 187,539 × 187,539
  4. Step 4: Simplify right side
    125,017x = 35,170,876,521
  5. Step 5: Solve for x
    x = 35,170,876,521/125,017
  6. Step 6: Final answer
    x = 281,328.75

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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.