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Finding the Third Proportional to 99,236 and 149,079

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Solution

The third proportional to 99,236 and 149,079 is: 223,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,236 : 149,079 = 149,079 : x
  2. Step 2: Convert to fraction form
    99,236/149,079 = 149,079/x
  3. Step 3: Cross multiply
    99,236x = 149,079 × 149,079
  4. Step 4: Simplify right side
    99,236x = 22,224,548,241
  5. Step 5: Solve for x
    x = 22,224,548,241/99,236
  6. Step 6: Final answer
    x = 223,956.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.