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Finding the Third Proportional to 82,508 and 125,814

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Solution

The third proportional to 82,508 and 125,814 is: 191,850.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,508 : 125,814 = 125,814 : x
  2. Step 2: Convert to fraction form
    82,508/125,814 = 125,814/x
  3. Step 3: Cross multiply
    82,508x = 125,814 × 125,814
  4. Step 4: Simplify right side
    82,508x = 15,829,162,596
  5. Step 5: Solve for x
    x = 15,829,162,596/82,508
  6. Step 6: Final answer
    x = 191,850.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.