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Finding the Third Proportional to 51,844 and 79,404.50

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Solution

The third proportional to 51,844 and 79,404.50 is: 121,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,844 : 79,404.50 = 79,404.50 : x
  2. Step 2: Convert to fraction form
    51,844/79,404.50 = 79,404.50/x
  3. Step 3: Cross multiply
    51,844x = 79,404.50 × 79,404.50
  4. Step 4: Simplify right side
    51,844x = 6,305,074,620.25
  5. Step 5: Solve for x
    x = 6,305,074,620.25/51,844
  6. Step 6: Final answer
    x = 121,616.28

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.