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Finding the Third Proportional to 109,838 and 165,972

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Solution

The third proportional to 109,838 and 165,972 is: 250,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,838 : 165,972 = 165,972 : x
  2. Step 2: Convert to fraction form
    109,838/165,972 = 165,972/x
  3. Step 3: Cross multiply
    109,838x = 165,972 × 165,972
  4. Step 4: Simplify right side
    109,838x = 27,546,704,784
  5. Step 5: Solve for x
    x = 27,546,704,784/109,838
  6. Step 6: Final answer
    x = 250,793.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.