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Finding the Third Proportional to 79,635 and 166,938

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Solution

The third proportional to 79,635 and 166,938 is: 349,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,635 : 166,938 = 166,938 : x
  2. Step 2: Convert to fraction form
    79,635/166,938 = 166,938/x
  3. Step 3: Cross multiply
    79,635x = 166,938 × 166,938
  4. Step 4: Simplify right side
    79,635x = 27,868,295,844
  5. Step 5: Solve for x
    x = 27,868,295,844/79,635
  6. Step 6: Final answer
    x = 349,950.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.