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Finding the Third Proportional to 75,434 and 165,934

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Solution

The third proportional to 75,434 and 165,934 is: 365,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,434 : 165,934 = 165,934 : x
  2. Step 2: Convert to fraction form
    75,434/165,934 = 165,934/x
  3. Step 3: Cross multiply
    75,434x = 165,934 × 165,934
  4. Step 4: Simplify right side
    75,434x = 27,534,092,356
  5. Step 5: Solve for x
    x = 27,534,092,356/75,434
  6. Step 6: Final answer
    x = 365,009.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.