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Finding the Third Proportional to 73,703 and 111,171

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Solution

The third proportional to 73,703 and 111,171 is: 167,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,703 : 111,171 = 111,171 : x
  2. Step 2: Convert to fraction form
    73,703/111,171 = 111,171/x
  3. Step 3: Cross multiply
    73,703x = 111,171 × 111,171
  4. Step 4: Simplify right side
    73,703x = 12,358,991,241
  5. Step 5: Solve for x
    x = 12,358,991,241/73,703
  6. Step 6: Final answer
    x = 167,686.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.