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Finding the Third Proportional to 54,569 and 84,105

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Solution

The third proportional to 54,569 and 84,105 is: 129,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,569 : 84,105 = 84,105 : x
  2. Step 2: Convert to fraction form
    54,569/84,105 = 84,105/x
  3. Step 3: Cross multiply
    54,569x = 84,105 × 84,105
  4. Step 4: Simplify right side
    54,569x = 7,073,651,025
  5. Step 5: Solve for x
    x = 7,073,651,025/54,569
  6. Step 6: Final answer
    x = 129,627.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.