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Finding the Third Proportional to 133,771.50 and 207,036

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Solution

The third proportional to 133,771.50 and 207,036 is: 320,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,771.50 : 207,036 = 207,036 : x
  2. Step 2: Convert to fraction form
    133,771.50/207,036 = 207,036/x
  3. Step 3: Cross multiply
    133,771.50x = 207,036 × 207,036
  4. Step 4: Simplify right side
    133,771.50x = 42,863,905,296
  5. Step 5: Solve for x
    x = 42,863,905,296/133,771.50
  6. Step 6: Final answer
    x = 320,426.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.