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Finding the Third Proportional to 56,713.31 and 83,772.75

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Solution

The third proportional to 56,713.31 and 83,772.75 is: 123,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,713.31 : 83,772.75 = 83,772.75 : x
  2. Step 2: Convert to fraction form
    56,713.31/83,772.75 = 83,772.75/x
  3. Step 3: Cross multiply
    56,713.31x = 83,772.75 × 83,772.75
  4. Step 4: Simplify right side
    56,713.31x = 7,017,873,642.56
  5. Step 5: Solve for x
    x = 7,017,873,642.56/56,713.31
  6. Step 6: Final answer
    x = 123,742.97

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.