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Finding the Third Proportional to 53,247 and 80,842.75

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Solution

The third proportional to 53,247 and 80,842.75 is: 122,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,247 : 80,842.75 = 80,842.75 : x
  2. Step 2: Convert to fraction form
    53,247/80,842.75 = 80,842.75/x
  3. Step 3: Cross multiply
    53,247x = 80,842.75 × 80,842.75
  4. Step 4: Simplify right side
    53,247x = 6,535,550,227.56
  5. Step 5: Solve for x
    x = 6,535,550,227.56/53,247
  6. Step 6: Final answer
    x = 122,740.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.