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Finding the Third Proportional to 49,337 and 106,558

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Solution

The third proportional to 49,337 and 106,558 is: 230,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,337 : 106,558 = 106,558 : x
  2. Step 2: Convert to fraction form
    49,337/106,558 = 106,558/x
  3. Step 3: Cross multiply
    49,337x = 106,558 × 106,558
  4. Step 4: Simplify right side
    49,337x = 11,354,607,364
  5. Step 5: Solve for x
    x = 11,354,607,364/49,337
  6. Step 6: Final answer
    x = 230,143.85

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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.