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Finding the Third Proportional to 92,113 and 191,150

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Solution

The third proportional to 92,113 and 191,150 is: 396,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,113 : 191,150 = 191,150 : x
  2. Step 2: Convert to fraction form
    92,113/191,150 = 191,150/x
  3. Step 3: Cross multiply
    92,113x = 191,150 × 191,150
  4. Step 4: Simplify right side
    92,113x = 36,538,322,500
  5. Step 5: Solve for x
    x = 36,538,322,500/92,113
  6. Step 6: Final answer
    x = 396,668.47

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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.