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Finding the Third Proportional to 53,181 and 79,769.25

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Solution

The third proportional to 53,181 and 79,769.25 is: 119,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,181 : 79,769.25 = 79,769.25 : x
  2. Step 2: Convert to fraction form
    53,181/79,769.25 = 79,769.25/x
  3. Step 3: Cross multiply
    53,181x = 79,769.25 × 79,769.25
  4. Step 4: Simplify right side
    53,181x = 6,363,133,245.56
  5. Step 5: Solve for x
    x = 6,363,133,245.56/53,181
  6. Step 6: Final answer
    x = 119,650.50

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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.