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Finding the Third Proportional to 99,214 and 149,744

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Solution

The third proportional to 99,214 and 149,744 is: 226,009.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,214 : 149,744 = 149,744 : x
  2. Step 2: Convert to fraction form
    99,214/149,744 = 149,744/x
  3. Step 3: Cross multiply
    99,214x = 149,744 × 149,744
  4. Step 4: Simplify right side
    99,214x = 22,423,265,536
  5. Step 5: Solve for x
    x = 22,423,265,536/99,214
  6. Step 6: Final answer
    x = 226,009.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.