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Finding the Third Proportional to 55,006.59 and 81,511.31

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Solution

The third proportional to 55,006.59 and 81,511.31 is: 120,787.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,006.59 : 81,511.31 = 81,511.31 : x
  2. Step 2: Convert to fraction form
    55,006.59/81,511.31 = 81,511.31/x
  3. Step 3: Cross multiply
    55,006.59x = 81,511.31 × 81,511.31
  4. Step 4: Simplify right side
    55,006.59x = 6,644,094,065.47
  5. Step 5: Solve for x
    x = 6,644,094,065.47/55,006.59
  6. Step 6: Final answer
    x = 120,787.23

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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.