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Finding the Third Proportional to 92,634.75 and 188,550

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Solution

The third proportional to 92,634.75 and 188,550 is: 383,777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,634.75 : 188,550 = 188,550 : x
  2. Step 2: Convert to fraction form
    92,634.75/188,550 = 188,550/x
  3. Step 3: Cross multiply
    92,634.75x = 188,550 × 188,550
  4. Step 4: Simplify right side
    92,634.75x = 35,551,102,500
  5. Step 5: Solve for x
    x = 35,551,102,500/92,634.75
  6. Step 6: Final answer
    x = 383,777.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.