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Finding the Third Proportional to 54,259.88 and 84,862.69

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Solution

The third proportional to 54,259.88 and 84,862.69 is: 132,725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,259.88 : 84,862.69 = 84,862.69 : x
  2. Step 2: Convert to fraction form
    54,259.88/84,862.69 = 84,862.69/x
  3. Step 3: Cross multiply
    54,259.88x = 84,862.69 × 84,862.69
  4. Step 4: Simplify right side
    54,259.88x = 7,201,675,729.72
  5. Step 5: Solve for x
    x = 7,201,675,729.72/54,259.88
  6. Step 6: Final answer
    x = 132,725.62

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.