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Finding the Third Proportional to 48,244 and 103,871

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Solution

The third proportional to 48,244 and 103,871 is: 223,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,244 : 103,871 = 103,871 : x
  2. Step 2: Convert to fraction form
    48,244/103,871 = 103,871/x
  3. Step 3: Cross multiply
    48,244x = 103,871 × 103,871
  4. Step 4: Simplify right side
    48,244x = 10,789,184,641
  5. Step 5: Solve for x
    x = 10,789,184,641/48,244
  6. Step 6: Final answer
    x = 223,637.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.