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Finding the Third Proportional to 139,097.25 and 267,112.69

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Solution

The third proportional to 139,097.25 and 267,112.69 is: 512,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,097.25 : 267,112.69 = 267,112.69 : x
  2. Step 2: Convert to fraction form
    139,097.25/267,112.69 = 267,112.69/x
  3. Step 3: Cross multiply
    139,097.25x = 267,112.69 × 267,112.69
  4. Step 4: Simplify right side
    139,097.25x = 71,349,187,823.47
  5. Step 5: Solve for x
    x = 71,349,187,823.47/139,097.25
  6. Step 6: Final answer
    x = 512,944.63

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.