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Finding the Third Proportional to 48,344 and 105,544

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Solution

The third proportional to 48,344 and 105,544 is: 230,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,344 : 105,544 = 105,544 : x
  2. Step 2: Convert to fraction form
    48,344/105,544 = 105,544/x
  3. Step 3: Cross multiply
    48,344x = 105,544 × 105,544
  4. Step 4: Simplify right side
    48,344x = 11,139,535,936
  5. Step 5: Solve for x
    x = 11,139,535,936/48,344
  6. Step 6: Final answer
    x = 230,422.31

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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.