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Finding the Third Proportional to 54,363.75 and 83,160.38

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Solution

The third proportional to 54,363.75 and 83,160.38 is: 127,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,363.75 : 83,160.38 = 83,160.38 : x
  2. Step 2: Convert to fraction form
    54,363.75/83,160.38 = 83,160.38/x
  3. Step 3: Cross multiply
    54,363.75x = 83,160.38 × 83,160.38
  4. Step 4: Simplify right side
    54,363.75x = 6,915,647,970.14
  5. Step 5: Solve for x
    x = 6,915,647,970.14/54,363.75
  6. Step 6: Final answer
    x = 127,210.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.