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Finding the Third Proportional to 87,532.50 and 192,084.75

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Solution

The third proportional to 87,532.50 and 192,084.75 is: 421,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,532.50 : 192,084.75 = 192,084.75 : x
  2. Step 2: Convert to fraction form
    87,532.50/192,084.75 = 192,084.75/x
  3. Step 3: Cross multiply
    87,532.50x = 192,084.75 × 192,084.75
  4. Step 4: Simplify right side
    87,532.50x = 36,896,551,182.56
  5. Step 5: Solve for x
    x = 36,896,551,182.56/87,532.50
  6. Step 6: Final answer
    x = 421,518.31

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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.