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Finding the Third Proportional to 84,667 and 185,073

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Solution

The third proportional to 84,667 and 185,073 is: 404,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,667 : 185,073 = 185,073 : x
  2. Step 2: Convert to fraction form
    84,667/185,073 = 185,073/x
  3. Step 3: Cross multiply
    84,667x = 185,073 × 185,073
  4. Step 4: Simplify right side
    84,667x = 34,252,015,329
  5. Step 5: Solve for x
    x = 34,252,015,329/84,667
  6. Step 6: Final answer
    x = 404,549.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.