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Finding the Third Proportional to 87,870.75 and 181,972.75

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Solution

The third proportional to 87,870.75 and 181,972.75 is: 376,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,870.75 : 181,972.75 = 181,972.75 : x
  2. Step 2: Convert to fraction form
    87,870.75/181,972.75 = 181,972.75/x
  3. Step 3: Cross multiply
    87,870.75x = 181,972.75 × 181,972.75
  4. Step 4: Simplify right side
    87,870.75x = 33,114,081,742.56
  5. Step 5: Solve for x
    x = 33,114,081,742.56/87,870.75
  6. Step 6: Final answer
    x = 376,849.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.