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Finding the Third Proportional to 51,784 and 108,796

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Solution

The third proportional to 51,784 and 108,796 is: 228,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,784 : 108,796 = 108,796 : x
  2. Step 2: Convert to fraction form
    51,784/108,796 = 108,796/x
  3. Step 3: Cross multiply
    51,784x = 108,796 × 108,796
  4. Step 4: Simplify right side
    51,784x = 11,836,569,616
  5. Step 5: Solve for x
    x = 11,836,569,616/51,784
  6. Step 6: Final answer
    x = 228,575.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.