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Finding the Third Proportional to 67,133 and 94,107

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Solution

The third proportional to 67,133 and 94,107 is: 131,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,133 : 94,107 = 94,107 : x
  2. Step 2: Convert to fraction form
    67,133/94,107 = 94,107/x
  3. Step 3: Cross multiply
    67,133x = 94,107 × 94,107
  4. Step 4: Simplify right side
    67,133x = 8,856,127,449
  5. Step 5: Solve for x
    x = 8,856,127,449/67,133
  6. Step 6: Final answer
    x = 131,919.14

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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.