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Finding the Third Proportional to 75,969 and 167,202

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Solution

The third proportional to 75,969 and 167,202 is: 367,998.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,969 : 167,202 = 167,202 : x
  2. Step 2: Convert to fraction form
    75,969/167,202 = 167,202/x
  3. Step 3: Cross multiply
    75,969x = 167,202 × 167,202
  4. Step 4: Simplify right side
    75,969x = 27,956,508,804
  5. Step 5: Solve for x
    x = 27,956,508,804/75,969
  6. Step 6: Final answer
    x = 367,998.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.