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Finding the Third Proportional to 49,956 and 77,347

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Solution

The third proportional to 49,956 and 77,347 is: 119,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,956 : 77,347 = 77,347 : x
  2. Step 2: Convert to fraction form
    49,956/77,347 = 77,347/x
  3. Step 3: Cross multiply
    49,956x = 77,347 × 77,347
  4. Step 4: Simplify right side
    49,956x = 5,982,558,409
  5. Step 5: Solve for x
    x = 5,982,558,409/49,956
  6. Step 6: Final answer
    x = 119,756.55

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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.