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Finding the Third Proportional to 133,207.50 and 187,605.75

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Solution

The third proportional to 133,207.50 and 187,605.75 is: 264,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,207.50 : 187,605.75 = 187,605.75 : x
  2. Step 2: Convert to fraction form
    133,207.50/187,605.75 = 187,605.75/x
  3. Step 3: Cross multiply
    133,207.50x = 187,605.75 × 187,605.75
  4. Step 4: Simplify right side
    133,207.50x = 35,195,917,433.06
  5. Step 5: Solve for x
    x = 35,195,917,433.06/133,207.50
  6. Step 6: Final answer
    x = 264,218.74

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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.