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Finding the Third Proportional to 76,666 and 167,912

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Solution

The third proportional to 76,666 and 167,912 is: 367,756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,666 : 167,912 = 167,912 : x
  2. Step 2: Convert to fraction form
    76,666/167,912 = 167,912/x
  3. Step 3: Cross multiply
    76,666x = 167,912 × 167,912
  4. Step 4: Simplify right side
    76,666x = 28,194,439,744
  5. Step 5: Solve for x
    x = 28,194,439,744/76,666
  6. Step 6: Final answer
    x = 367,756.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.