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Finding the Third Proportional to 69,543 and 150,174

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Solution

The third proportional to 69,543 and 150,174 is: 324,291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,543 : 150,174 = 150,174 : x
  2. Step 2: Convert to fraction form
    69,543/150,174 = 150,174/x
  3. Step 3: Cross multiply
    69,543x = 150,174 × 150,174
  4. Step 4: Simplify right side
    69,543x = 22,552,230,276
  5. Step 5: Solve for x
    x = 22,552,230,276/69,543
  6. Step 6: Final answer
    x = 324,291.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.