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Finding the Third Proportional to 87,673.25 and 191,747.50

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Solution

The third proportional to 87,673.25 and 191,747.50 is: 419,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,673.25 : 191,747.50 = 191,747.50 : x
  2. Step 2: Convert to fraction form
    87,673.25/191,747.50 = 191,747.50/x
  3. Step 3: Cross multiply
    87,673.25x = 191,747.50 × 191,747.50
  4. Step 4: Simplify right side
    87,673.25x = 36,767,103,756.25
  5. Step 5: Solve for x
    x = 36,767,103,756.25/87,673.25
  6. Step 6: Final answer
    x = 419,365.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.