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Finding the Third Proportional to 73,924 and 158,918

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Solution

The third proportional to 73,924 and 158,918 is: 341,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,924 : 158,918 = 158,918 : x
  2. Step 2: Convert to fraction form
    73,924/158,918 = 158,918/x
  3. Step 3: Cross multiply
    73,924x = 158,918 × 158,918
  4. Step 4: Simplify right side
    73,924x = 25,254,930,724
  5. Step 5: Solve for x
    x = 25,254,930,724/73,924
  6. Step 6: Final answer
    x = 341,633.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.