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Finding the Third Proportional to 75,596 and 158,983

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Solution

The third proportional to 75,596 and 158,983 is: 334,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,596 : 158,983 = 158,983 : x
  2. Step 2: Convert to fraction form
    75,596/158,983 = 158,983/x
  3. Step 3: Cross multiply
    75,596x = 158,983 × 158,983
  4. Step 4: Simplify right side
    75,596x = 25,275,594,289
  5. Step 5: Solve for x
    x = 25,275,594,289/75,596
  6. Step 6: Final answer
    x = 334,350.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.