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Finding the Third Proportional to 54,522.75 and 82,057.13

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Solution

The third proportional to 54,522.75 and 82,057.13 is: 123,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,522.75 : 82,057.13 = 82,057.13 : x
  2. Step 2: Convert to fraction form
    54,522.75/82,057.13 = 82,057.13/x
  3. Step 3: Cross multiply
    54,522.75x = 82,057.13 × 82,057.13
  4. Step 4: Simplify right side
    54,522.75x = 6,733,371,763.27
  5. Step 5: Solve for x
    x = 6,733,371,763.27/54,522.75
  6. Step 6: Final answer
    x = 123,496.55

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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.