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Finding the Third Proportional to 82,340 and 125,613

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Solution

The third proportional to 82,340 and 125,613 is: 191,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,340 : 125,613 = 125,613 : x
  2. Step 2: Convert to fraction form
    82,340/125,613 = 125,613/x
  3. Step 3: Cross multiply
    82,340x = 125,613 × 125,613
  4. Step 4: Simplify right side
    82,340x = 15,778,625,769
  5. Step 5: Solve for x
    x = 15,778,625,769/82,340
  6. Step 6: Final answer
    x = 191,627.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.