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Finding the Third Proportional to 57,080.95 and 81,135.42

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Solution

The third proportional to 57,080.95 and 81,135.42 is: 115,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,080.95 : 81,135.42 = 81,135.42 : x
  2. Step 2: Convert to fraction form
    57,080.95/81,135.42 = 81,135.42/x
  3. Step 3: Cross multiply
    57,080.95x = 81,135.42 × 81,135.42
  4. Step 4: Simplify right side
    57,080.95x = 6,582,956,682.83
  5. Step 5: Solve for x
    x = 6,582,956,682.83/57,080.95
  6. Step 6: Final answer
    x = 115,326.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.