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Finding the Third Proportional to 48,890.25 and 107,129.25

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Solution

The third proportional to 48,890.25 and 107,129.25 is: 234,743.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,890.25 : 107,129.25 = 107,129.25 : x
  2. Step 2: Convert to fraction form
    48,890.25/107,129.25 = 107,129.25/x
  3. Step 3: Cross multiply
    48,890.25x = 107,129.25 × 107,129.25
  4. Step 4: Simplify right side
    48,890.25x = 11,476,676,205.56
  5. Step 5: Solve for x
    x = 11,476,676,205.56/48,890.25
  6. Step 6: Final answer
    x = 234,743.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.