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Finding the Third Proportional to 75,897 and 164,919

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Solution

The third proportional to 75,897 and 164,919 is: 358,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,897 : 164,919 = 164,919 : x
  2. Step 2: Convert to fraction form
    75,897/164,919 = 164,919/x
  3. Step 3: Cross multiply
    75,897x = 164,919 × 164,919
  4. Step 4: Simplify right side
    75,897x = 27,198,276,561
  5. Step 5: Solve for x
    x = 27,198,276,561/75,897
  6. Step 6: Final answer
    x = 358,357.73

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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.