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Finding the Third Proportional to 88,803 and 135,027

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Solution

The third proportional to 88,803 and 135,027 is: 205,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,803 : 135,027 = 135,027 : x
  2. Step 2: Convert to fraction form
    88,803/135,027 = 135,027/x
  3. Step 3: Cross multiply
    88,803x = 135,027 × 135,027
  4. Step 4: Simplify right side
    88,803x = 18,232,290,729
  5. Step 5: Solve for x
    x = 18,232,290,729/88,803
  6. Step 6: Final answer
    x = 205,311.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.