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Finding the Third Proportional to 75,426.19 and 159,600.38

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Solution

The third proportional to 75,426.19 and 159,600.38 is: 337,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,426.19 : 159,600.38 = 159,600.38 : x
  2. Step 2: Convert to fraction form
    75,426.19/159,600.38 = 159,600.38/x
  3. Step 3: Cross multiply
    75,426.19x = 159,600.38 × 159,600.38
  4. Step 4: Simplify right side
    75,426.19x = 25,472,279,700.14
  5. Step 5: Solve for x
    x = 25,472,279,700.14/75,426.19
  6. Step 6: Final answer
    x = 337,711.35

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