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Finding the Third Proportional to 37,507.11 and 81,754.63

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Solution

The third proportional to 37,507.11 and 81,754.63 is: 178,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,507.11 : 81,754.63 = 81,754.63 : x
  2. Step 2: Convert to fraction form
    37,507.11/81,754.63 = 81,754.63/x
  3. Step 3: Cross multiply
    37,507.11x = 81,754.63 × 81,754.63
  4. Step 4: Simplify right side
    37,507.11x = 6,683,819,347.60
  5. Step 5: Solve for x
    x = 6,683,819,347.60/37,507.11
  6. Step 6: Final answer
    x = 178,201.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.