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Finding the Third Proportional to 47,724 and 107,823

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Solution

The third proportional to 47,724 and 107,823 is: 243,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,724 : 107,823 = 107,823 : x
  2. Step 2: Convert to fraction form
    47,724/107,823 = 107,823/x
  3. Step 3: Cross multiply
    47,724x = 107,823 × 107,823
  4. Step 4: Simplify right side
    47,724x = 11,625,799,329
  5. Step 5: Solve for x
    x = 11,625,799,329/47,724
  6. Step 6: Final answer
    x = 243,604.88

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.