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Finding the Third Proportional to 37,301.13 and 76,325.73

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Solution

The third proportional to 37,301.13 and 76,325.73 is: 156,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,301.13 : 76,325.73 = 76,325.73 : x
  2. Step 2: Convert to fraction form
    37,301.13/76,325.73 = 76,325.73/x
  3. Step 3: Cross multiply
    37,301.13x = 76,325.73 × 76,325.73
  4. Step 4: Simplify right side
    37,301.13x = 5,825,617,131.59
  5. Step 5: Solve for x
    x = 5,825,617,131.59/37,301.13
  6. Step 6: Final answer
    x = 156,178.02

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.