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Finding the Third Proportional to 48,396 and 101,226

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Solution

The third proportional to 48,396 and 101,226 is: 211,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,396 : 101,226 = 101,226 : x
  2. Step 2: Convert to fraction form
    48,396/101,226 = 101,226/x
  3. Step 3: Cross multiply
    48,396x = 101,226 × 101,226
  4. Step 4: Simplify right side
    48,396x = 10,246,703,076
  5. Step 5: Solve for x
    x = 10,246,703,076/48,396
  6. Step 6: Final answer
    x = 211,726.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.