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Finding the Third Proportional to 54,074.25 and 80,663.34

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Solution

The third proportional to 54,074.25 and 80,663.34 is: 120,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,074.25 : 80,663.34 = 80,663.34 : x
  2. Step 2: Convert to fraction form
    54,074.25/80,663.34 = 80,663.34/x
  3. Step 3: Cross multiply
    54,074.25x = 80,663.34 × 80,663.34
  4. Step 4: Simplify right side
    54,074.25x = 6,506,575,024.93
  5. Step 5: Solve for x
    x = 6,506,575,024.93/54,074.25
  6. Step 6: Final answer
    x = 120,326.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.