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Finding the Third Proportional to 49,949 and 70,261

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Solution

The third proportional to 49,949 and 70,261 is: 98,832.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,949 : 70,261 = 70,261 : x
  2. Step 2: Convert to fraction form
    49,949/70,261 = 70,261/x
  3. Step 3: Cross multiply
    49,949x = 70,261 × 70,261
  4. Step 4: Simplify right side
    49,949x = 4,936,608,121
  5. Step 5: Solve for x
    x = 4,936,608,121/49,949
  6. Step 6: Final answer
    x = 98,832.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.