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Finding the Third Proportional to 133,073 and 205,556

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Solution

The third proportional to 133,073 and 205,556 is: 317,519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,073 : 205,556 = 205,556 : x
  2. Step 2: Convert to fraction form
    133,073/205,556 = 205,556/x
  3. Step 3: Cross multiply
    133,073x = 205,556 × 205,556
  4. Step 4: Simplify right side
    133,073x = 42,253,269,136
  5. Step 5: Solve for x
    x = 42,253,269,136/133,073
  6. Step 6: Final answer
    x = 317,519.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.