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Finding the Third Proportional to 41,894 and 86,702

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Solution

The third proportional to 41,894 and 86,702 is: 179,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,894 : 86,702 = 86,702 : x
  2. Step 2: Convert to fraction form
    41,894/86,702 = 86,702/x
  3. Step 3: Cross multiply
    41,894x = 86,702 × 86,702
  4. Step 4: Simplify right side
    41,894x = 7,517,236,804
  5. Step 5: Solve for x
    x = 7,517,236,804/41,894
  6. Step 6: Final answer
    x = 179,434.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.