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Finding the Third Proportional to 75,849 and 164,934

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Solution

The third proportional to 75,849 and 164,934 is: 358,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,849 : 164,934 = 164,934 : x
  2. Step 2: Convert to fraction form
    75,849/164,934 = 164,934/x
  3. Step 3: Cross multiply
    75,849x = 164,934 × 164,934
  4. Step 4: Simplify right side
    75,849x = 27,203,224,356
  5. Step 5: Solve for x
    x = 27,203,224,356/75,849
  6. Step 6: Final answer
    x = 358,649.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.