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Finding the Third Proportional to 133,003.69 and 187,066.13

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Solution

The third proportional to 133,003.69 and 187,066.13 is: 263,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,003.69 : 187,066.13 = 187,066.13 : x
  2. Step 2: Convert to fraction form
    133,003.69/187,066.13 = 187,066.13/x
  3. Step 3: Cross multiply
    133,003.69x = 187,066.13 × 187,066.13
  4. Step 4: Simplify right side
    133,003.69x = 34,993,735,122.52
  5. Step 5: Solve for x
    x = 34,993,735,122.52/133,003.69
  6. Step 6: Final answer
    x = 263,103.50

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.