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Finding the Third Proportional to 100,110 and 149,868

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Solution

The third proportional to 100,110 and 149,868 is: 224,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,110 : 149,868 = 149,868 : x
  2. Step 2: Convert to fraction form
    100,110/149,868 = 149,868/x
  3. Step 3: Cross multiply
    100,110x = 149,868 × 149,868
  4. Step 4: Simplify right side
    100,110x = 22,460,417,424
  5. Step 5: Solve for x
    x = 22,460,417,424/100,110
  6. Step 6: Final answer
    x = 224,357.38

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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.