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Finding the Third Proportional to 49,761 and 107,538

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Solution

The third proportional to 49,761 and 107,538 is: 232,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,761 : 107,538 = 107,538 : x
  2. Step 2: Convert to fraction form
    49,761/107,538 = 107,538/x
  3. Step 3: Cross multiply
    49,761x = 107,538 × 107,538
  4. Step 4: Simplify right side
    49,761x = 11,564,421,444
  5. Step 5: Solve for x
    x = 11,564,421,444/49,761
  6. Step 6: Final answer
    x = 232,399.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.