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Finding the Third Proportional to 48,555 and 103,856.25

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Solution

The third proportional to 48,555 and 103,856.25 is: 222,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,555 : 103,856.25 = 103,856.25 : x
  2. Step 2: Convert to fraction form
    48,555/103,856.25 = 103,856.25/x
  3. Step 3: Cross multiply
    48,555x = 103,856.25 × 103,856.25
  4. Step 4: Simplify right side
    48,555x = 10,786,120,664.06
  5. Step 5: Solve for x
    x = 10,786,120,664.06/48,555
  6. Step 6: Final answer
    x = 222,142.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.