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Finding the Third Proportional to 48,670.88 and 107,912.25

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Solution

The third proportional to 48,670.88 and 107,912.25 is: 239,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,670.88 : 107,912.25 = 107,912.25 : x
  2. Step 2: Convert to fraction form
    48,670.88/107,912.25 = 107,912.25/x
  3. Step 3: Cross multiply
    48,670.88x = 107,912.25 × 107,912.25
  4. Step 4: Simplify right side
    48,670.88x = 11,645,053,700.06
  5. Step 5: Solve for x
    x = 11,645,053,700.06/48,670.88
  6. Step 6: Final answer
    x = 239,261.24

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Why These Related Problems?

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