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Finding the Third Proportional to 63,828 and 149,087.25

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Solution

The third proportional to 63,828 and 149,087.25 is: 348,232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,828 : 149,087.25 = 149,087.25 : x
  2. Step 2: Convert to fraction form
    63,828/149,087.25 = 149,087.25/x
  3. Step 3: Cross multiply
    63,828x = 149,087.25 × 149,087.25
  4. Step 4: Simplify right side
    63,828x = 22,227,008,112.56
  5. Step 5: Solve for x
    x = 22,227,008,112.56/63,828
  6. Step 6: Final answer
    x = 348,232.88

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.