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Finding the Third Proportional to 49,361 and 79,494

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Solution

The third proportional to 49,361 and 79,494 is: 128,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,361 : 79,494 = 79,494 : x
  2. Step 2: Convert to fraction form
    49,361/79,494 = 79,494/x
  3. Step 3: Cross multiply
    49,361x = 79,494 × 79,494
  4. Step 4: Simplify right side
    49,361x = 6,319,296,036
  5. Step 5: Solve for x
    x = 6,319,296,036/49,361
  6. Step 6: Final answer
    x = 128,022.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.