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Finding the Third Proportional to 48,084 and 103,832

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Solution

The third proportional to 48,084 and 103,832 is: 224,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,084 : 103,832 = 103,832 : x
  2. Step 2: Convert to fraction form
    48,084/103,832 = 103,832/x
  3. Step 3: Cross multiply
    48,084x = 103,832 × 103,832
  4. Step 4: Simplify right side
    48,084x = 10,781,084,224
  5. Step 5: Solve for x
    x = 10,781,084,224/48,084
  6. Step 6: Final answer
    x = 224,213.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.