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Finding the Third Proportional to 92,114 and 191,152

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Solution

The third proportional to 92,114 and 191,152 is: 396,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,114 : 191,152 = 191,152 : x
  2. Step 2: Convert to fraction form
    92,114/191,152 = 191,152/x
  3. Step 3: Cross multiply
    92,114x = 191,152 × 191,152
  4. Step 4: Simplify right side
    92,114x = 36,539,087,104
  5. Step 5: Solve for x
    x = 36,539,087,104/92,114
  6. Step 6: Final answer
    x = 396,672.46

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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.