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Finding the Third Proportional to 48,472 and 103,856

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Solution

The third proportional to 48,472 and 103,856 is: 222,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,472 : 103,856 = 103,856 : x
  2. Step 2: Convert to fraction form
    48,472/103,856 = 103,856/x
  3. Step 3: Cross multiply
    48,472x = 103,856 × 103,856
  4. Step 4: Simplify right side
    48,472x = 10,786,068,736
  5. Step 5: Solve for x
    x = 10,786,068,736/48,472
  6. Step 6: Final answer
    x = 222,521.64

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