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Finding the Third Proportional to 49,548 and 107,843

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Solution

The third proportional to 49,548 and 107,843 is: 234,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,548 : 107,843 = 107,843 : x
  2. Step 2: Convert to fraction form
    49,548/107,843 = 107,843/x
  3. Step 3: Cross multiply
    49,548x = 107,843 × 107,843
  4. Step 4: Simplify right side
    49,548x = 11,630,112,649
  5. Step 5: Solve for x
    x = 11,630,112,649/49,548
  6. Step 6: Final answer
    x = 234,724.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.