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Finding the Third Proportional to 92,117 and 191,158

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Solution

The third proportional to 92,117 and 191,158 is: 396,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,117 : 191,158 = 191,158 : x
  2. Step 2: Convert to fraction form
    92,117/191,158 = 191,158/x
  3. Step 3: Cross multiply
    92,117x = 191,158 × 191,158
  4. Step 4: Simplify right side
    92,117x = 36,541,380,964
  5. Step 5: Solve for x
    x = 36,541,380,964/92,117
  6. Step 6: Final answer
    x = 396,684.44

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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.