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Finding the Third Proportional to 76,466 and 166,756

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Solution

The third proportional to 76,466 and 166,756 is: 363,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,466 : 166,756 = 166,756 : x
  2. Step 2: Convert to fraction form
    76,466/166,756 = 166,756/x
  3. Step 3: Cross multiply
    76,466x = 166,756 × 166,756
  4. Step 4: Simplify right side
    76,466x = 27,807,563,536
  5. Step 5: Solve for x
    x = 27,807,563,536/76,466
  6. Step 6: Final answer
    x = 363,659.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.