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Finding the Third Proportional to 81,488.25 and 126,069.75

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Solution

The third proportional to 81,488.25 and 126,069.75 is: 195,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,488.25 : 126,069.75 = 126,069.75 : x
  2. Step 2: Convert to fraction form
    81,488.25/126,069.75 = 126,069.75/x
  3. Step 3: Cross multiply
    81,488.25x = 126,069.75 × 126,069.75
  4. Step 4: Simplify right side
    81,488.25x = 15,893,581,865.06
  5. Step 5: Solve for x
    x = 15,893,581,865.06/81,488.25
  6. Step 6: Final answer
    x = 195,041.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.