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Finding the Third Proportional to 51,363 and 76,882

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Solution

The third proportional to 51,363 and 76,882 is: 115,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,363 : 76,882 = 76,882 : x
  2. Step 2: Convert to fraction form
    51,363/76,882 = 76,882/x
  3. Step 3: Cross multiply
    51,363x = 76,882 × 76,882
  4. Step 4: Simplify right side
    51,363x = 5,910,841,924
  5. Step 5: Solve for x
    x = 5,910,841,924/51,363
  6. Step 6: Final answer
    x = 115,079.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.