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Finding the Third Proportional to 34,516 and 75,493

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Solution

The third proportional to 34,516 and 75,493 is: 165,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,516 : 75,493 = 75,493 : x
  2. Step 2: Convert to fraction form
    34,516/75,493 = 75,493/x
  3. Step 3: Cross multiply
    34,516x = 75,493 × 75,493
  4. Step 4: Simplify right side
    34,516x = 5,699,193,049
  5. Step 5: Solve for x
    x = 5,699,193,049/34,516
  6. Step 6: Final answer
    x = 165,117.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.