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Finding the Third Proportional to 48,498.75 and 106,020.56

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Solution

The third proportional to 48,498.75 and 106,020.56 is: 231,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,498.75 : 106,020.56 = 106,020.56 : x
  2. Step 2: Convert to fraction form
    48,498.75/106,020.56 = 106,020.56/x
  3. Step 3: Cross multiply
    48,498.75x = 106,020.56 × 106,020.56
  4. Step 4: Simplify right side
    48,498.75x = 11,240,359,672.82
  5. Step 5: Solve for x
    x = 11,240,359,672.82/48,498.75
  6. Step 6: Final answer
    x = 231,765.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.