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Finding the Third Proportional to 48,956 and 105,686

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Solution

The third proportional to 48,956 and 105,686 is: 228,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,956 : 105,686 = 105,686 : x
  2. Step 2: Convert to fraction form
    48,956/105,686 = 105,686/x
  3. Step 3: Cross multiply
    48,956x = 105,686 × 105,686
  4. Step 4: Simplify right side
    48,956x = 11,169,530,596
  5. Step 5: Solve for x
    x = 11,169,530,596/48,956
  6. Step 6: Final answer
    x = 228,154.48

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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.