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Finding the Third Proportional to 48,552.75 and 108,402.75

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Solution

The third proportional to 48,552.75 and 108,402.75 is: 242,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,552.75 : 108,402.75 = 108,402.75 : x
  2. Step 2: Convert to fraction form
    48,552.75/108,402.75 = 108,402.75/x
  3. Step 3: Cross multiply
    48,552.75x = 108,402.75 × 108,402.75
  4. Step 4: Simplify right side
    48,552.75x = 11,751,156,207.56
  5. Step 5: Solve for x
    x = 11,751,156,207.56/48,552.75
  6. Step 6: Final answer
    x = 242,028.64

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.