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Finding the Third Proportional to 67,138 and 94,114

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Solution

The third proportional to 67,138 and 94,114 is: 131,928.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,138 : 94,114 = 94,114 : x
  2. Step 2: Convert to fraction form
    67,138/94,114 = 94,114/x
  3. Step 3: Cross multiply
    67,138x = 94,114 × 94,114
  4. Step 4: Simplify right side
    67,138x = 8,857,444,996
  5. Step 5: Solve for x
    x = 8,857,444,996/67,138
  6. Step 6: Final answer
    x = 131,928.94

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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.