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Finding the Third Proportional to 75,458 and 159,484

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Solution

The third proportional to 75,458 and 159,484 is: 337,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,458 : 159,484 = 159,484 : x
  2. Step 2: Convert to fraction form
    75,458/159,484 = 159,484/x
  3. Step 3: Cross multiply
    75,458x = 159,484 × 159,484
  4. Step 4: Simplify right side
    75,458x = 25,435,146,256
  5. Step 5: Solve for x
    x = 25,435,146,256/75,458
  6. Step 6: Final answer
    x = 337,076.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.