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Finding the Third Proportional to 104,186.25 and 161,427.38

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Solution

The third proportional to 104,186.25 and 161,427.38 is: 250,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,186.25 : 161,427.38 = 161,427.38 : x
  2. Step 2: Convert to fraction form
    104,186.25/161,427.38 = 161,427.38/x
  3. Step 3: Cross multiply
    104,186.25x = 161,427.38 × 161,427.38
  4. Step 4: Simplify right side
    104,186.25x = 26,058,797,399.39
  5. Step 5: Solve for x
    x = 26,058,797,399.39/104,186.25
  6. Step 6: Final answer
    x = 250,117.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.