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Finding the Third Proportional to 88,755.75 and 191,727

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Solution

The third proportional to 88,755.75 and 191,727 is: 414,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,755.75 : 191,727 = 191,727 : x
  2. Step 2: Convert to fraction form
    88,755.75/191,727 = 191,727/x
  3. Step 3: Cross multiply
    88,755.75x = 191,727 × 191,727
  4. Step 4: Simplify right side
    88,755.75x = 36,759,242,529
  5. Step 5: Solve for x
    x = 36,759,242,529/88,755.75
  6. Step 6: Final answer
    x = 414,161.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.