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Finding the Third Proportional to 99,814 and 150,126

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Solution

The third proportional to 99,814 and 150,126 is: 225,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,814 : 150,126 = 150,126 : x
  2. Step 2: Convert to fraction form
    99,814/150,126 = 150,126/x
  3. Step 3: Cross multiply
    99,814x = 150,126 × 150,126
  4. Step 4: Simplify right side
    99,814x = 22,537,815,876
  5. Step 5: Solve for x
    x = 22,537,815,876/99,814
  6. Step 6: Final answer
    x = 225,798.14

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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.