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Finding the Third Proportional to 138,906 and 214,123

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Solution

The third proportional to 138,906 and 214,123 is: 330,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,906 : 214,123 = 214,123 : x
  2. Step 2: Convert to fraction form
    138,906/214,123 = 214,123/x
  3. Step 3: Cross multiply
    138,906x = 214,123 × 214,123
  4. Step 4: Simplify right side
    138,906x = 45,848,659,129
  5. Step 5: Solve for x
    x = 45,848,659,129/138,906
  6. Step 6: Final answer
    x = 330,069.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.