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Finding the Third Proportional to 94,115.75 and 138,034.75

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Solution

The third proportional to 94,115.75 and 138,034.75 is: 202,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,115.75 : 138,034.75 = 138,034.75 : x
  2. Step 2: Convert to fraction form
    94,115.75/138,034.75 = 138,034.75/x
  3. Step 3: Cross multiply
    94,115.75x = 138,034.75 × 138,034.75
  4. Step 4: Simplify right side
    94,115.75x = 19,053,592,207.56
  5. Step 5: Solve for x
    x = 19,053,592,207.56/94,115.75
  6. Step 6: Final answer
    x = 202,448.50

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