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Finding the Third Proportional to 52,791 and 107,731

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Solution

The third proportional to 52,791 and 107,731 is: 219,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,791 : 107,731 = 107,731 : x
  2. Step 2: Convert to fraction form
    52,791/107,731 = 107,731/x
  3. Step 3: Cross multiply
    52,791x = 107,731 × 107,731
  4. Step 4: Simplify right side
    52,791x = 11,605,968,361
  5. Step 5: Solve for x
    x = 11,605,968,361/52,791
  6. Step 6: Final answer
    x = 219,847.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.