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Finding the Third Proportional to 54,315 and 86,427

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Solution

The third proportional to 54,315 and 86,427 is: 137,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,315 : 86,427 = 86,427 : x
  2. Step 2: Convert to fraction form
    54,315/86,427 = 86,427/x
  3. Step 3: Cross multiply
    54,315x = 86,427 × 86,427
  4. Step 4: Simplify right side
    54,315x = 7,469,626,329
  5. Step 5: Solve for x
    x = 7,469,626,329/54,315
  6. Step 6: Final answer
    x = 137,524.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.