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Finding the Third Proportional to 94,234 and 132,068

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Solution

The third proportional to 94,234 and 132,068 is: 185,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,234 : 132,068 = 132,068 : x
  2. Step 2: Convert to fraction form
    94,234/132,068 = 132,068/x
  3. Step 3: Cross multiply
    94,234x = 132,068 × 132,068
  4. Step 4: Simplify right side
    94,234x = 17,441,956,624
  5. Step 5: Solve for x
    x = 17,441,956,624/94,234
  6. Step 6: Final answer
    x = 185,091.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.