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Finding the Third Proportional to 49,828.50 and 107,961

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Solution

The third proportional to 49,828.50 and 107,961 is: 233,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,828.50 : 107,961 = 107,961 : x
  2. Step 2: Convert to fraction form
    49,828.50/107,961 = 107,961/x
  3. Step 3: Cross multiply
    49,828.50x = 107,961 × 107,961
  4. Step 4: Simplify right side
    49,828.50x = 11,655,577,521
  5. Step 5: Solve for x
    x = 11,655,577,521/49,828.50
  6. Step 6: Final answer
    x = 233,913.88

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