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Finding the Third Proportional to 75,375.56 and 159,499.13

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Solution

The third proportional to 75,375.56 and 159,499.13 is: 337,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,375.56 : 159,499.13 = 159,499.13 : x
  2. Step 2: Convert to fraction form
    75,375.56/159,499.13 = 159,499.13/x
  3. Step 3: Cross multiply
    75,375.56x = 159,499.13 × 159,499.13
  4. Step 4: Simplify right side
    75,375.56x = 25,439,970,875.77
  5. Step 5: Solve for x
    x = 25,439,970,875.77/75,375.56
  6. Step 6: Final answer
    x = 337,509.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.