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Finding the Third Proportional to 49,593 and 107,610

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Solution

The third proportional to 49,593 and 107,610 is: 233,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,593 : 107,610 = 107,610 : x
  2. Step 2: Convert to fraction form
    49,593/107,610 = 107,610/x
  3. Step 3: Cross multiply
    49,593x = 107,610 × 107,610
  4. Step 4: Simplify right side
    49,593x = 11,579,912,100
  5. Step 5: Solve for x
    x = 11,579,912,100/49,593
  6. Step 6: Final answer
    x = 233,498.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.