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Finding the Third Proportional to 49,541 and 76,743

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Solution

The third proportional to 49,541 and 76,743 is: 118,881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,541 : 76,743 = 76,743 : x
  2. Step 2: Convert to fraction form
    49,541/76,743 = 76,743/x
  3. Step 3: Cross multiply
    49,541x = 76,743 × 76,743
  4. Step 4: Simplify right side
    49,541x = 5,889,488,049
  5. Step 5: Solve for x
    x = 5,889,488,049/49,541
  6. Step 6: Final answer
    x = 118,881.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.