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Finding the Third Proportional to 121,520.25 and 252,375.75

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Solution

The third proportional to 121,520.25 and 252,375.75 is: 524,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,520.25 : 252,375.75 = 252,375.75 : x
  2. Step 2: Convert to fraction form
    121,520.25/252,375.75 = 252,375.75/x
  3. Step 3: Cross multiply
    121,520.25x = 252,375.75 × 252,375.75
  4. Step 4: Simplify right side
    121,520.25x = 63,693,519,188.06
  5. Step 5: Solve for x
    x = 63,693,519,188.06/121,520.25
  6. Step 6: Final answer
    x = 524,139.14

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.