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Finding the Third Proportional to 79,343 and 119,027

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Solution

The third proportional to 79,343 and 119,027 is: 178,559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,343 : 119,027 = 119,027 : x
  2. Step 2: Convert to fraction form
    79,343/119,027 = 119,027/x
  3. Step 3: Cross multiply
    79,343x = 119,027 × 119,027
  4. Step 4: Simplify right side
    79,343x = 14,167,426,729
  5. Step 5: Solve for x
    x = 14,167,426,729/79,343
  6. Step 6: Final answer
    x = 178,559.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.