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Finding the Third Proportional to 54,006.75 and 81,753.19

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Solution

The third proportional to 54,006.75 and 81,753.19 is: 123,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,006.75 : 81,753.19 = 81,753.19 : x
  2. Step 2: Convert to fraction form
    54,006.75/81,753.19 = 81,753.19/x
  3. Step 3: Cross multiply
    54,006.75x = 81,753.19 × 81,753.19
  4. Step 4: Simplify right side
    54,006.75x = 6,683,583,666.41
  5. Step 5: Solve for x
    x = 6,683,583,666.41/54,006.75
  6. Step 6: Final answer
    x = 123,754.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.