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Finding the Third Proportional to 54,965.25 and 82,411.88

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Solution

The third proportional to 54,965.25 and 82,411.88 is: 123,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,965.25 : 82,411.88 = 82,411.88 : x
  2. Step 2: Convert to fraction form
    54,965.25/82,411.88 = 82,411.88/x
  3. Step 3: Cross multiply
    54,965.25x = 82,411.88 × 82,411.88
  4. Step 4: Simplify right side
    54,965.25x = 6,791,717,141.02
  5. Step 5: Solve for x
    x = 6,791,717,141.02/54,965.25
  6. Step 6: Final answer
    x = 123,563.84

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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.