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Finding the Third Proportional to 94,120.31 and 138,040.88

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Solution

The third proportional to 94,120.31 and 138,040.88 is: 202,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,120.31 : 138,040.88 = 138,040.88 : x
  2. Step 2: Convert to fraction form
    94,120.31/138,040.88 = 138,040.88/x
  3. Step 3: Cross multiply
    94,120.31x = 138,040.88 × 138,040.88
  4. Step 4: Simplify right side
    94,120.31x = 19,055,283,170.77
  5. Step 5: Solve for x
    x = 19,055,283,170.77/94,120.31
  6. Step 6: Final answer
    x = 202,456.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.