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Finding the Third Proportional to 121,691.81 and 181,524.94

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Solution

The third proportional to 121,691.81 and 181,524.94 is: 270,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,691.81 : 181,524.94 = 181,524.94 : x
  2. Step 2: Convert to fraction form
    121,691.81/181,524.94 = 181,524.94/x
  3. Step 3: Cross multiply
    121,691.81x = 181,524.94 × 181,524.94
  4. Step 4: Simplify right side
    121,691.81x = 32,951,302,934.38
  5. Step 5: Solve for x
    x = 32,951,302,934.38/121,691.81
  6. Step 6: Final answer
    x = 270,776.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.