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Finding the Third Proportional to 102,991.50 and 159,387.75

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Solution

The third proportional to 102,991.50 and 159,387.75 is: 246,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,991.50 : 159,387.75 = 159,387.75 : x
  2. Step 2: Convert to fraction form
    102,991.50/159,387.75 = 159,387.75/x
  3. Step 3: Cross multiply
    102,991.50x = 159,387.75 × 159,387.75
  4. Step 4: Simplify right side
    102,991.50x = 25,404,454,850.06
  5. Step 5: Solve for x
    x = 25,404,454,850.06/102,991.50
  6. Step 6: Final answer
    x = 246,665.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.