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Finding the Third Proportional to 104,073 and 215,530

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Solution

The third proportional to 104,073 and 215,530 is: 446,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,073 : 215,530 = 215,530 : x
  2. Step 2: Convert to fraction form
    104,073/215,530 = 215,530/x
  3. Step 3: Cross multiply
    104,073x = 215,530 × 215,530
  4. Step 4: Simplify right side
    104,073x = 46,453,180,900
  5. Step 5: Solve for x
    x = 46,453,180,900/104,073
  6. Step 6: Final answer
    x = 446,351.90

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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.