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Finding the Third Proportional to 48,674.25 and 107,915.63

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Solution

The third proportional to 48,674.25 and 107,915.63 is: 239,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,674.25 : 107,915.63 = 107,915.63 : x
  2. Step 2: Convert to fraction form
    48,674.25/107,915.63 = 107,915.63/x
  3. Step 3: Cross multiply
    48,674.25x = 107,915.63 × 107,915.63
  4. Step 4: Simplify right side
    48,674.25x = 11,645,782,119.14
  5. Step 5: Solve for x
    x = 11,645,782,119.14/48,674.25
  6. Step 6: Final answer
    x = 239,259.61

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.