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Finding the Third Proportional to 35,124 and 76,494

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Solution

The third proportional to 35,124 and 76,494 is: 166,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,124 : 76,494 = 76,494 : x
  2. Step 2: Convert to fraction form
    35,124/76,494 = 76,494/x
  3. Step 3: Cross multiply
    35,124x = 76,494 × 76,494
  4. Step 4: Simplify right side
    35,124x = 5,851,332,036
  5. Step 5: Solve for x
    x = 5,851,332,036/35,124
  6. Step 6: Final answer
    x = 166,590.71

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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.