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Finding the Third Proportional to 92,116 and 191,156

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Solution

The third proportional to 92,116 and 191,156 is: 396,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,116 : 191,156 = 191,156 : x
  2. Step 2: Convert to fraction form
    92,116/191,156 = 191,156/x
  3. Step 3: Cross multiply
    92,116x = 191,156 × 191,156
  4. Step 4: Simplify right side
    92,116x = 36,540,616,336
  5. Step 5: Solve for x
    x = 36,540,616,336/92,116
  6. Step 6: Final answer
    x = 396,680.45

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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.