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Finding the Third Proportional to 109,048.50 and 159,972.75

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Solution

The third proportional to 109,048.50 and 159,972.75 is: 234,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,048.50 : 159,972.75 = 159,972.75 : x
  2. Step 2: Convert to fraction form
    109,048.50/159,972.75 = 159,972.75/x
  3. Step 3: Cross multiply
    109,048.50x = 159,972.75 × 159,972.75
  4. Step 4: Simplify right side
    109,048.50x = 25,591,280,742.56
  5. Step 5: Solve for x
    x = 25,591,280,742.56/109,048.50
  6. Step 6: Final answer
    x = 234,677.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.