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Finding the Third Proportional to 93,375 and 204,974

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Solution

The third proportional to 93,375 and 204,974 is: 449,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,375 : 204,974 = 204,974 : x
  2. Step 2: Convert to fraction form
    93,375/204,974 = 204,974/x
  3. Step 3: Cross multiply
    93,375x = 204,974 × 204,974
  4. Step 4: Simplify right side
    93,375x = 42,014,340,676
  5. Step 5: Solve for x
    x = 42,014,340,676/93,375
  6. Step 6: Final answer
    x = 449,952.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.