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Finding the Third Proportional to 57,980.25 and 82,690.88

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Solution

The third proportional to 57,980.25 and 82,690.88 is: 117,932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,980.25 : 82,690.88 = 82,690.88 : x
  2. Step 2: Convert to fraction form
    57,980.25/82,690.88 = 82,690.88/x
  3. Step 3: Cross multiply
    57,980.25x = 82,690.88 × 82,690.88
  4. Step 4: Simplify right side
    57,980.25x = 6,837,780,808.27
  5. Step 5: Solve for x
    x = 6,837,780,808.27/57,980.25
  6. Step 6: Final answer
    x = 117,932.93

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.