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Finding the Third Proportional to 49,758.75 and 104,126.63

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Solution

The third proportional to 49,758.75 and 104,126.63 is: 217,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,758.75 : 104,126.63 = 104,126.63 : x
  2. Step 2: Convert to fraction form
    49,758.75/104,126.63 = 104,126.63/x
  3. Step 3: Cross multiply
    49,758.75x = 104,126.63 × 104,126.63
  4. Step 4: Simplify right side
    49,758.75x = 10,842,354,033.89
  5. Step 5: Solve for x
    x = 10,842,354,033.89/49,758.75
  6. Step 6: Final answer
    x = 217,898.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.