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Finding the Third Proportional to 121,651.88 and 182,341.13

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Solution

The third proportional to 121,651.88 and 182,341.13 is: 273,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,651.88 : 182,341.13 = 182,341.13 : x
  2. Step 2: Convert to fraction form
    121,651.88/182,341.13 = 182,341.13/x
  3. Step 3: Cross multiply
    121,651.88x = 182,341.13 × 182,341.13
  4. Step 4: Simplify right side
    121,651.88x = 33,248,285,866.27
  5. Step 5: Solve for x
    x = 33,248,285,866.27/121,651.88
  6. Step 6: Final answer
    x = 273,306.81

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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.