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Finding the Third Proportional to 49,956.75 and 107,019

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Solution

The third proportional to 49,956.75 and 107,019 is: 229,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,956.75 : 107,019 = 107,019 : x
  2. Step 2: Convert to fraction form
    49,956.75/107,019 = 107,019/x
  3. Step 3: Cross multiply
    49,956.75x = 107,019 × 107,019
  4. Step 4: Simplify right side
    49,956.75x = 11,453,066,361
  5. Step 5: Solve for x
    x = 11,453,066,361/49,956.75
  6. Step 6: Final answer
    x = 229,259.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.