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Finding the Third Proportional to 137,072.25 and 227,103.75

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Solution

The third proportional to 137,072.25 and 227,103.75 is: 376,269.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,072.25 : 227,103.75 = 227,103.75 : x
  2. Step 2: Convert to fraction form
    137,072.25/227,103.75 = 227,103.75/x
  3. Step 3: Cross multiply
    137,072.25x = 227,103.75 × 227,103.75
  4. Step 4: Simplify right side
    137,072.25x = 51,576,113,264.06
  5. Step 5: Solve for x
    x = 51,576,113,264.06/137,072.25
  6. Step 6: Final answer
    x = 376,269.55

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.