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Finding the Third Proportional to 121,507.88 and 182,260.13

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Solution

The third proportional to 121,507.88 and 182,260.13 is: 273,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,507.88 : 182,260.13 = 182,260.13 : x
  2. Step 2: Convert to fraction form
    121,507.88/182,260.13 = 182,260.13/x
  3. Step 3: Cross multiply
    121,507.88x = 182,260.13 × 182,260.13
  4. Step 4: Simplify right side
    121,507.88x = 33,218,753,165.02
  5. Step 5: Solve for x
    x = 33,218,753,165.02/121,507.88
  6. Step 6: Final answer
    x = 273,387.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.