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Finding the Third Proportional to 100,622.25 and 149,586.75

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Solution

The third proportional to 100,622.25 and 149,586.75 is: 222,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,622.25 : 149,586.75 = 149,586.75 : x
  2. Step 2: Convert to fraction form
    100,622.25/149,586.75 = 149,586.75/x
  3. Step 3: Cross multiply
    100,622.25x = 149,586.75 × 149,586.75
  4. Step 4: Simplify right side
    100,622.25x = 22,376,195,775.56
  5. Step 5: Solve for x
    x = 22,376,195,775.56/100,622.25
  6. Step 6: Final answer
    x = 222,378.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.