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Finding the Third Proportional to 71,366 and 106,844

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Solution

The third proportional to 71,366 and 106,844 is: 159,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,366 : 106,844 = 106,844 : x
  2. Step 2: Convert to fraction form
    71,366/106,844 = 106,844/x
  3. Step 3: Cross multiply
    71,366x = 106,844 × 106,844
  4. Step 4: Simplify right side
    71,366x = 11,415,640,336
  5. Step 5: Solve for x
    x = 11,415,640,336/71,366
  6. Step 6: Final answer
    x = 159,959.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.