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Finding the Third Proportional to 133,944 and 207,564

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Solution

The third proportional to 133,944 and 207,564 is: 321,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,944 : 207,564 = 207,564 : x
  2. Step 2: Convert to fraction form
    133,944/207,564 = 207,564/x
  3. Step 3: Cross multiply
    133,944x = 207,564 × 207,564
  4. Step 4: Simplify right side
    133,944x = 43,082,814,096
  5. Step 5: Solve for x
    x = 43,082,814,096/133,944
  6. Step 6: Final answer
    x = 321,647.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.