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Finding the Third Proportional to 49,410 and 109,872

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Solution

The third proportional to 49,410 and 109,872 is: 244,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,410 : 109,872 = 109,872 : x
  2. Step 2: Convert to fraction form
    49,410/109,872 = 109,872/x
  3. Step 3: Cross multiply
    49,410x = 109,872 × 109,872
  4. Step 4: Simplify right side
    49,410x = 12,071,856,384
  5. Step 5: Solve for x
    x = 12,071,856,384/49,410
  6. Step 6: Final answer
    x = 244,320.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.