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Finding the Third Proportional to 75,231.75 and 114,325.13

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Solution

The third proportional to 75,231.75 and 114,325.13 is: 173,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,231.75 : 114,325.13 = 114,325.13 : x
  2. Step 2: Convert to fraction form
    75,231.75/114,325.13 = 114,325.13/x
  3. Step 3: Cross multiply
    75,231.75x = 114,325.13 × 114,325.13
  4. Step 4: Simplify right side
    75,231.75x = 13,070,234,206.27
  5. Step 5: Solve for x
    x = 13,070,234,206.27/75,231.75
  6. Step 6: Final answer
    x = 173,732.95

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.