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Finding the Third Proportional to 51,817 and 107,324

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Solution

The third proportional to 51,817 and 107,324 is: 222,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,817 : 107,324 = 107,324 : x
  2. Step 2: Convert to fraction form
    51,817/107,324 = 107,324/x
  3. Step 3: Cross multiply
    51,817x = 107,324 × 107,324
  4. Step 4: Simplify right side
    51,817x = 11,518,440,976
  5. Step 5: Solve for x
    x = 11,518,440,976/51,817
  6. Step 6: Final answer
    x = 222,290.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.