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Finding the Third Proportional to 124,891 and 187,341

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Solution

The third proportional to 124,891 and 187,341 is: 281,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,891 : 187,341 = 187,341 : x
  2. Step 2: Convert to fraction form
    124,891/187,341 = 187,341/x
  3. Step 3: Cross multiply
    124,891x = 187,341 × 187,341
  4. Step 4: Simplify right side
    124,891x = 35,096,650,281
  5. Step 5: Solve for x
    x = 35,096,650,281/124,891
  6. Step 6: Final answer
    x = 281,018.25

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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.