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Finding the Third Proportional to 48,410 and 106,366

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Solution

The third proportional to 48,410 and 106,366 is: 233,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,410 : 106,366 = 106,366 : x
  2. Step 2: Convert to fraction form
    48,410/106,366 = 106,366/x
  3. Step 3: Cross multiply
    48,410x = 106,366 × 106,366
  4. Step 4: Simplify right side
    48,410x = 11,313,725,956
  5. Step 5: Solve for x
    x = 11,313,725,956/48,410
  6. Step 6: Final answer
    x = 233,706.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.