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Finding the Third Proportional to 137,270.25 and 204,702.75

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Solution

The third proportional to 137,270.25 and 204,702.75 is: 305,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,270.25 : 204,702.75 = 204,702.75 : x
  2. Step 2: Convert to fraction form
    137,270.25/204,702.75 = 204,702.75/x
  3. Step 3: Cross multiply
    137,270.25x = 204,702.75 × 204,702.75
  4. Step 4: Simplify right side
    137,270.25x = 41,903,215,857.56
  5. Step 5: Solve for x
    x = 41,903,215,857.56/137,270.25
  6. Step 6: Final answer
    x = 305,260.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.