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Finding the Third Proportional to 87,740.50 and 179,639.75

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Solution

The third proportional to 87,740.50 and 179,639.75 is: 367,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,740.50 : 179,639.75 = 179,639.75 : x
  2. Step 2: Convert to fraction form
    87,740.50/179,639.75 = 179,639.75/x
  3. Step 3: Cross multiply
    87,740.50x = 179,639.75 × 179,639.75
  4. Step 4: Simplify right side
    87,740.50x = 32,270,439,780.06
  5. Step 5: Solve for x
    x = 32,270,439,780.06/87,740.50
  6. Step 6: Final answer
    x = 367,794.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.