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Finding the Third Proportional to 75,945 and 166,516

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Solution

The third proportional to 75,945 and 166,516 is: 365,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,945 : 166,516 = 166,516 : x
  2. Step 2: Convert to fraction form
    75,945/166,516 = 166,516/x
  3. Step 3: Cross multiply
    75,945x = 166,516 × 166,516
  4. Step 4: Simplify right side
    75,945x = 27,727,578,256
  5. Step 5: Solve for x
    x = 27,727,578,256/75,945
  6. Step 6: Final answer
    x = 365,100.77

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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.