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Finding the Third Proportional to 104,986.97 and 161,589.38

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Solution

The third proportional to 104,986.97 and 161,589.38 is: 248,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,986.97 : 161,589.38 = 161,589.38 : x
  2. Step 2: Convert to fraction form
    104,986.97/161,589.38 = 161,589.38/x
  3. Step 3: Cross multiply
    104,986.97x = 161,589.38 × 161,589.38
  4. Step 4: Simplify right side
    104,986.97x = 26,111,126,112.89
  5. Step 5: Solve for x
    x = 26,111,126,112.89/104,986.97
  6. Step 6: Final answer
    x = 248,708.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.