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Finding the Third Proportional to 99,630 and 150,174

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Solution

The third proportional to 99,630 and 150,174 is: 226,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,630 : 150,174 = 150,174 : x
  2. Step 2: Convert to fraction form
    99,630/150,174 = 150,174/x
  3. Step 3: Cross multiply
    99,630x = 150,174 × 150,174
  4. Step 4: Simplify right side
    99,630x = 22,552,230,276
  5. Step 5: Solve for x
    x = 22,552,230,276/99,630
  6. Step 6: Final answer
    x = 226,359.83

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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.