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Finding the Third Proportional to 60,471 and 125,844.75

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Solution

The third proportional to 60,471 and 125,844.75 is: 261,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,471 : 125,844.75 = 125,844.75 : x
  2. Step 2: Convert to fraction form
    60,471/125,844.75 = 125,844.75/x
  3. Step 3: Cross multiply
    60,471x = 125,844.75 × 125,844.75
  4. Step 4: Simplify right side
    60,471x = 15,836,901,102.56
  5. Step 5: Solve for x
    x = 15,836,901,102.56/60,471
  6. Step 6: Final answer
    x = 261,892.50

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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.