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Finding the Third Proportional to 70,942.50 and 94,662

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Solution

The third proportional to 70,942.50 and 94,662 is: 126,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,942.50 : 94,662 = 94,662 : x
  2. Step 2: Convert to fraction form
    70,942.50/94,662 = 94,662/x
  3. Step 3: Cross multiply
    70,942.50x = 94,662 × 94,662
  4. Step 4: Simplify right side
    70,942.50x = 8,960,894,244
  5. Step 5: Solve for x
    x = 8,960,894,244/70,942.50
  6. Step 6: Final answer
    x = 126,312.07

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.