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Finding the Third Proportional to 49,305 and 73,872

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Solution

The third proportional to 49,305 and 73,872 is: 110,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,305 : 73,872 = 73,872 : x
  2. Step 2: Convert to fraction form
    49,305/73,872 = 73,872/x
  3. Step 3: Cross multiply
    49,305x = 73,872 × 73,872
  4. Step 4: Simplify right side
    49,305x = 5,457,072,384
  5. Step 5: Solve for x
    x = 5,457,072,384/49,305
  6. Step 6: Final answer
    x = 110,679.90

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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.