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Finding the Third Proportional to 99,042 and 149,036

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Solution

The third proportional to 99,042 and 149,036 is: 224,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,042 : 149,036 = 149,036 : x
  2. Step 2: Convert to fraction form
    99,042/149,036 = 149,036/x
  3. Step 3: Cross multiply
    99,042x = 149,036 × 149,036
  4. Step 4: Simplify right side
    99,042x = 22,211,729,296
  5. Step 5: Solve for x
    x = 22,211,729,296/99,042
  6. Step 6: Final answer
    x = 224,265.76

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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.