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Finding the Third Proportional to 99,626 and 149,546

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Solution

The third proportional to 99,626 and 149,546 is: 224,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,626 : 149,546 = 149,546 : x
  2. Step 2: Convert to fraction form
    99,626/149,546 = 149,546/x
  3. Step 3: Cross multiply
    99,626x = 149,546 × 149,546
  4. Step 4: Simplify right side
    99,626x = 22,364,006,116
  5. Step 5: Solve for x
    x = 22,364,006,116/99,626
  6. Step 6: Final answer
    x = 224,479.61

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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.