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Finding the Third Proportional to 53,718.19 and 80,782.31

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Solution

The third proportional to 53,718.19 and 80,782.31 is: 121,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,718.19 : 80,782.31 = 80,782.31 : x
  2. Step 2: Convert to fraction form
    53,718.19/80,782.31 = 80,782.31/x
  3. Step 3: Cross multiply
    53,718.19x = 80,782.31 × 80,782.31
  4. Step 4: Simplify right side
    53,718.19x = 6,525,782,012.85
  5. Step 5: Solve for x
    x = 6,525,782,012.85/53,718.19
  6. Step 6: Final answer
    x = 121,481.80

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