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Finding the Third Proportional to 75,484 and 159,958

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Solution

The third proportional to 75,484 and 159,958 is: 338,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,484 : 159,958 = 159,958 : x
  2. Step 2: Convert to fraction form
    75,484/159,958 = 159,958/x
  3. Step 3: Cross multiply
    75,484x = 159,958 × 159,958
  4. Step 4: Simplify right side
    75,484x = 25,586,561,764
  5. Step 5: Solve for x
    x = 25,586,561,764/75,484
  6. Step 6: Final answer
    x = 338,966.69

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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.