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Finding the Third Proportional to 49,186 and 73,779

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Solution

The third proportional to 49,186 and 73,779 is: 110,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,186 : 73,779 = 73,779 : x
  2. Step 2: Convert to fraction form
    49,186/73,779 = 73,779/x
  3. Step 3: Cross multiply
    49,186x = 73,779 × 73,779
  4. Step 4: Simplify right side
    49,186x = 5,443,340,841
  5. Step 5: Solve for x
    x = 5,443,340,841/49,186
  6. Step 6: Final answer
    x = 110,668.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.