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Finding the Third Proportional to 88,755.75 and 193,185

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Solution

The third proportional to 88,755.75 and 193,185 is: 420,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,755.75 : 193,185 = 193,185 : x
  2. Step 2: Convert to fraction form
    88,755.75/193,185 = 193,185/x
  3. Step 3: Cross multiply
    88,755.75x = 193,185 × 193,185
  4. Step 4: Simplify right side
    88,755.75x = 37,320,444,225
  5. Step 5: Solve for x
    x = 37,320,444,225/88,755.75
  6. Step 6: Final answer
    x = 420,484.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.