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Finding the Third Proportional to 77,918 and 165,544

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Solution

The third proportional to 77,918 and 165,544 is: 351,713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,918 : 165,544 = 165,544 : x
  2. Step 2: Convert to fraction form
    77,918/165,544 = 165,544/x
  3. Step 3: Cross multiply
    77,918x = 165,544 × 165,544
  4. Step 4: Simplify right side
    77,918x = 27,404,815,936
  5. Step 5: Solve for x
    x = 27,404,815,936/77,918
  6. Step 6: Final answer
    x = 351,713.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.