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Finding the Third Proportional to 51,080.25 and 76,690.13

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Solution

The third proportional to 51,080.25 and 76,690.13 is: 115,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,080.25 : 76,690.13 = 76,690.13 : x
  2. Step 2: Convert to fraction form
    51,080.25/76,690.13 = 76,690.13/x
  3. Step 3: Cross multiply
    51,080.25x = 76,690.13 × 76,690.13
  4. Step 4: Simplify right side
    51,080.25x = 5,881,375,272.52
  5. Step 5: Solve for x
    x = 5,881,375,272.52/51,080.25
  6. Step 6: Final answer
    x = 115,139.91

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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.