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Finding the Third Proportional to 85,029 and 185,366

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Solution

The third proportional to 85,029 and 185,366 is: 404,103.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,029 : 185,366 = 185,366 : x
  2. Step 2: Convert to fraction form
    85,029/185,366 = 185,366/x
  3. Step 3: Cross multiply
    85,029x = 185,366 × 185,366
  4. Step 4: Simplify right side
    85,029x = 34,360,553,956
  5. Step 5: Solve for x
    x = 34,360,553,956/85,029
  6. Step 6: Final answer
    x = 404,103.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.