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Finding the Third Proportional to 50,928 and 121,944

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Solution

The third proportional to 50,928 and 121,944 is: 291,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,928 : 121,944 = 121,944 : x
  2. Step 2: Convert to fraction form
    50,928/121,944 = 121,944/x
  3. Step 3: Cross multiply
    50,928x = 121,944 × 121,944
  4. Step 4: Simplify right side
    50,928x = 14,870,339,136
  5. Step 5: Solve for x
    x = 14,870,339,136/50,928
  6. Step 6: Final answer
    x = 291,987.49

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.