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Finding the Third Proportional to 51,366 and 68,706

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Solution

The third proportional to 51,366 and 68,706 is: 91,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,366 : 68,706 = 68,706 : x
  2. Step 2: Convert to fraction form
    51,366/68,706 = 68,706/x
  3. Step 3: Cross multiply
    51,366x = 68,706 × 68,706
  4. Step 4: Simplify right side
    51,366x = 4,720,514,436
  5. Step 5: Solve for x
    x = 4,720,514,436/51,366
  6. Step 6: Final answer
    x = 91,899.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.