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Finding the Third Proportional to 53,262.56 and 80,127.35

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Solution

The third proportional to 53,262.56 and 80,127.35 is: 120,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,262.56 : 80,127.35 = 80,127.35 : x
  2. Step 2: Convert to fraction form
    53,262.56/80,127.35 = 80,127.35/x
  3. Step 3: Cross multiply
    53,262.56x = 80,127.35 × 80,127.35
  4. Step 4: Simplify right side
    53,262.56x = 6,420,392,468.42
  5. Step 5: Solve for x
    x = 6,420,392,468.42/53,262.56
  6. Step 6: Final answer
    x = 120,542.31

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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.