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Finding the Third Proportional to 124,891.75 and 185,407

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Solution

The third proportional to 124,891.75 and 185,407 is: 275,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,891.75 : 185,407 = 185,407 : x
  2. Step 2: Convert to fraction form
    124,891.75/185,407 = 185,407/x
  3. Step 3: Cross multiply
    124,891.75x = 185,407 × 185,407
  4. Step 4: Simplify right side
    124,891.75x = 34,375,755,649
  5. Step 5: Solve for x
    x = 34,375,755,649/124,891.75
  6. Step 6: Final answer
    x = 275,244.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.