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Finding the Third Proportional to 48,738.50 and 110,087

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Solution

The third proportional to 48,738.50 and 110,087 is: 248,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,738.50 : 110,087 = 110,087 : x
  2. Step 2: Convert to fraction form
    48,738.50/110,087 = 110,087/x
  3. Step 3: Cross multiply
    48,738.50x = 110,087 × 110,087
  4. Step 4: Simplify right side
    48,738.50x = 12,119,147,569
  5. Step 5: Solve for x
    x = 12,119,147,569/48,738.50
  6. Step 6: Final answer
    x = 248,656.56

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.