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Finding the Third Proportional to 75,874.50 and 166,204.13

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Solution

The third proportional to 75,874.50 and 166,204.13 is: 364,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,874.50 : 166,204.13 = 166,204.13 : x
  2. Step 2: Convert to fraction form
    75,874.50/166,204.13 = 166,204.13/x
  3. Step 3: Cross multiply
    75,874.50x = 166,204.13 × 166,204.13
  4. Step 4: Simplify right side
    75,874.50x = 27,623,811,167.02
  5. Step 5: Solve for x
    x = 27,623,811,167.02/75,874.50
  6. Step 6: Final answer
    x = 364,072.40

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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.