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Finding the Third Proportional to 125,640.49 and 270,963.98

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Solution

The third proportional to 125,640.49 and 270,963.98 is: 584,377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,640.49 : 270,963.98 = 270,963.98 : x
  2. Step 2: Convert to fraction form
    125,640.49/270,963.98 = 270,963.98/x
  3. Step 3: Cross multiply
    125,640.49x = 270,963.98 × 270,963.98
  4. Step 4: Simplify right side
    125,640.49x = 73,421,480,828.38
  5. Step 5: Solve for x
    x = 73,421,480,828.38/125,640.49
  6. Step 6: Final answer
    x = 584,377.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.