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Finding the Third Proportional to 89,952.75 and 187,197.75

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Solution

The third proportional to 89,952.75 and 187,197.75 is: 389,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,952.75 : 187,197.75 = 187,197.75 : x
  2. Step 2: Convert to fraction form
    89,952.75/187,197.75 = 187,197.75/x
  3. Step 3: Cross multiply
    89,952.75x = 187,197.75 × 187,197.75
  4. Step 4: Simplify right side
    89,952.75x = 35,042,997,605.06
  5. Step 5: Solve for x
    x = 35,042,997,605.06/89,952.75
  6. Step 6: Final answer
    x = 389,571.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.