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Finding the Third Proportional to 67,141 and 94,119

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Solution

The third proportional to 67,141 and 94,119 is: 131,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,141 : 94,119 = 94,119 : x
  2. Step 2: Convert to fraction form
    67,141/94,119 = 94,119/x
  3. Step 3: Cross multiply
    67,141x = 94,119 × 94,119
  4. Step 4: Simplify right side
    67,141x = 8,858,386,161
  5. Step 5: Solve for x
    x = 8,858,386,161/67,141
  6. Step 6: Final answer
    x = 131,937.06

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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.