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Finding the Third Proportional to 115,022 and 176,174

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Solution

The third proportional to 115,022 and 176,174 is: 269,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,022 : 176,174 = 176,174 : x
  2. Step 2: Convert to fraction form
    115,022/176,174 = 176,174/x
  3. Step 3: Cross multiply
    115,022x = 176,174 × 176,174
  4. Step 4: Simplify right side
    115,022x = 31,037,278,276
  5. Step 5: Solve for x
    x = 31,037,278,276/115,022
  6. Step 6: Final answer
    x = 269,837.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.