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Finding the Third Proportional to 104,955.75 and 138,034.13

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Solution

The third proportional to 104,955.75 and 138,034.13 is: 181,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,955.75 : 138,034.13 = 138,034.13 : x
  2. Step 2: Convert to fraction form
    104,955.75/138,034.13 = 138,034.13/x
  3. Step 3: Cross multiply
    104,955.75x = 138,034.13 × 138,034.13
  4. Step 4: Simplify right side
    104,955.75x = 19,053,419,664.52
  5. Step 5: Solve for x
    x = 19,053,419,664.52/104,955.75
  6. Step 6: Final answer
    x = 181,537.64

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.