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Finding the Third Proportional to 49,660 and 75,979

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Solution

The third proportional to 49,660 and 75,979 is: 116,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,660 : 75,979 = 75,979 : x
  2. Step 2: Convert to fraction form
    49,660/75,979 = 75,979/x
  3. Step 3: Cross multiply
    49,660x = 75,979 × 75,979
  4. Step 4: Simplify right side
    49,660x = 5,772,808,441
  5. Step 5: Solve for x
    x = 5,772,808,441/49,660
  6. Step 6: Final answer
    x = 116,246.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.