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Finding the Third Proportional to 37,851.05 and 68,301.98

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Solution

The third proportional to 37,851.05 and 68,301.98 is: 123,250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,851.05 : 68,301.98 = 68,301.98 : x
  2. Step 2: Convert to fraction form
    37,851.05/68,301.98 = 68,301.98/x
  3. Step 3: Cross multiply
    37,851.05x = 68,301.98 × 68,301.98
  4. Step 4: Simplify right side
    37,851.05x = 4,665,161,069.56
  5. Step 5: Solve for x
    x = 4,665,161,069.56/37,851.05
  6. Step 6: Final answer
    x = 123,250.52

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.