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Finding the Third Proportional to 49,278.75 and 106,474.13

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Solution

The third proportional to 49,278.75 and 106,474.13 is: 230,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,278.75 : 106,474.13 = 106,474.13 : x
  2. Step 2: Convert to fraction form
    49,278.75/106,474.13 = 106,474.13/x
  3. Step 3: Cross multiply
    49,278.75x = 106,474.13 × 106,474.13
  4. Step 4: Simplify right side
    49,278.75x = 11,336,739,294.52
  5. Step 5: Solve for x
    x = 11,336,739,294.52/49,278.75
  6. Step 6: Final answer
    x = 230,053.30

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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.