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Finding the Third Proportional to 131,839.31 and 183,097.13

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Solution

The third proportional to 131,839.31 and 183,097.13 is: 254,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,839.31 : 183,097.13 = 183,097.13 : x
  2. Step 2: Convert to fraction form
    131,839.31/183,097.13 = 183,097.13/x
  3. Step 3: Cross multiply
    131,839.31x = 183,097.13 × 183,097.13
  4. Step 4: Simplify right side
    131,839.31x = 33,524,557,183.27
  5. Step 5: Solve for x
    x = 33,524,557,183.27/131,839.31
  6. Step 6: Final answer
    x = 254,283.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.