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Finding the Third Proportional to 49,543 and 106,981

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Solution

The third proportional to 49,543 and 106,981 is: 231,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,543 : 106,981 = 106,981 : x
  2. Step 2: Convert to fraction form
    49,543/106,981 = 106,981/x
  3. Step 3: Cross multiply
    49,543x = 106,981 × 106,981
  4. Step 4: Simplify right side
    49,543x = 11,444,934,361
  5. Step 5: Solve for x
    x = 11,444,934,361/49,543
  6. Step 6: Final answer
    x = 231,010.12

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Why These Related Problems?

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