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Finding the Third Proportional to 51,086.95 and 76,647.52

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Solution

The third proportional to 51,086.95 and 76,647.52 is: 114,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,086.95 : 76,647.52 = 76,647.52 : x
  2. Step 2: Convert to fraction form
    51,086.95/76,647.52 = 76,647.52/x
  3. Step 3: Cross multiply
    51,086.95x = 76,647.52 × 76,647.52
  4. Step 4: Simplify right side
    51,086.95x = 5,874,841,651.48
  5. Step 5: Solve for x
    x = 5,874,841,651.48/51,086.95
  6. Step 6: Final answer
    x = 114,996.91

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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.