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Finding the Third Proportional to 121,029.38 and 255,910.88

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Solution

The third proportional to 121,029.38 and 255,910.88 is: 541,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,029.38 : 255,910.88 = 255,910.88 : x
  2. Step 2: Convert to fraction form
    121,029.38/255,910.88 = 255,910.88/x
  3. Step 3: Cross multiply
    121,029.38x = 255,910.88 × 255,910.88
  4. Step 4: Simplify right side
    121,029.38x = 65,490,375,943.27
  5. Step 5: Solve for x
    x = 65,490,375,943.27/121,029.38
  6. Step 6: Final answer
    x = 541,111.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.