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Finding the Third Proportional to 47,231 and 73,119

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Solution

The third proportional to 47,231 and 73,119 is: 113,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,231 : 73,119 = 73,119 : x
  2. Step 2: Convert to fraction form
    47,231/73,119 = 73,119/x
  3. Step 3: Cross multiply
    47,231x = 73,119 × 73,119
  4. Step 4: Simplify right side
    47,231x = 5,346,388,161
  5. Step 5: Solve for x
    x = 5,346,388,161/47,231
  6. Step 6: Final answer
    x = 113,196.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.