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Finding the Third Proportional to 49,832 and 77,239

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Solution

The third proportional to 49,832 and 77,239 is: 119,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,832 : 77,239 = 77,239 : x
  2. Step 2: Convert to fraction form
    49,832/77,239 = 77,239/x
  3. Step 3: Cross multiply
    49,832x = 77,239 × 77,239
  4. Step 4: Simplify right side
    49,832x = 5,965,863,121
  5. Step 5: Solve for x
    x = 5,965,863,121/49,832
  6. Step 6: Final answer
    x = 119,719.52

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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.