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Finding the Third Proportional to 34,698 and 75,696

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Solution

The third proportional to 34,698 and 75,696 is: 165,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,698 : 75,696 = 75,696 : x
  2. Step 2: Convert to fraction form
    34,698/75,696 = 75,696/x
  3. Step 3: Cross multiply
    34,698x = 75,696 × 75,696
  4. Step 4: Simplify right side
    34,698x = 5,729,884,416
  5. Step 5: Solve for x
    x = 5,729,884,416/34,698
  6. Step 6: Final answer
    x = 165,135.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.