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Finding the Third Proportional to 86,937.75 and 185,358.75

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Solution

The third proportional to 86,937.75 and 185,358.75 is: 395,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,937.75 : 185,358.75 = 185,358.75 : x
  2. Step 2: Convert to fraction form
    86,937.75/185,358.75 = 185,358.75/x
  3. Step 3: Cross multiply
    86,937.75x = 185,358.75 × 185,358.75
  4. Step 4: Simplify right side
    86,937.75x = 34,357,866,201.56
  5. Step 5: Solve for x
    x = 34,357,866,201.56/86,937.75
  6. Step 6: Final answer
    x = 395,200.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.