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Finding the Third Proportional to 54,801 and 84,517.50

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Solution

The third proportional to 54,801 and 84,517.50 is: 130,348.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,801 : 84,517.50 = 84,517.50 : x
  2. Step 2: Convert to fraction form
    54,801/84,517.50 = 84,517.50/x
  3. Step 3: Cross multiply
    54,801x = 84,517.50 × 84,517.50
  4. Step 4: Simplify right side
    54,801x = 7,143,207,806.25
  5. Step 5: Solve for x
    x = 7,143,207,806.25/54,801
  6. Step 6: Final answer
    x = 130,348.13

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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.