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Finding the Third Proportional to 49,344 and 107,112

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Solution

The third proportional to 49,344 and 107,112 is: 232,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344 : 107,112 = 107,112 : x
  2. Step 2: Convert to fraction form
    49,344/107,112 = 107,112/x
  3. Step 3: Cross multiply
    49,344x = 107,112 × 107,112
  4. Step 4: Simplify right side
    49,344x = 11,472,980,544
  5. Step 5: Solve for x
    x = 11,472,980,544/49,344
  6. Step 6: Final answer
    x = 232,510.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.