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Finding the Third Proportional to 88,812 and 189,126

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Solution

The third proportional to 88,812 and 189,126 is: 402,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,812 : 189,126 = 189,126 : x
  2. Step 2: Convert to fraction form
    88,812/189,126 = 189,126/x
  3. Step 3: Cross multiply
    88,812x = 189,126 × 189,126
  4. Step 4: Simplify right side
    88,812x = 35,768,643,876
  5. Step 5: Solve for x
    x = 35,768,643,876/88,812
  6. Step 6: Final answer
    x = 402,745.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.