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Finding the Third Proportional to 34,086 and 79,610

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Solution

The third proportional to 34,086 and 79,610 is: 185,934.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,086 : 79,610 = 79,610 : x
  2. Step 2: Convert to fraction form
    34,086/79,610 = 79,610/x
  3. Step 3: Cross multiply
    34,086x = 79,610 × 79,610
  4. Step 4: Simplify right side
    34,086x = 6,337,752,100
  5. Step 5: Solve for x
    x = 6,337,752,100/34,086
  6. Step 6: Final answer
    x = 185,934.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.