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Finding the Third Proportional to 49,366 and 107,492

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Solution

The third proportional to 49,366 and 107,492 is: 234,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,366 : 107,492 = 107,492 : x
  2. Step 2: Convert to fraction form
    49,366/107,492 = 107,492/x
  3. Step 3: Cross multiply
    49,366x = 107,492 × 107,492
  4. Step 4: Simplify right side
    49,366x = 11,554,530,064
  5. Step 5: Solve for x
    x = 11,554,530,064/49,366
  6. Step 6: Final answer
    x = 234,058.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.