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Finding the Third Proportional to 107,592 and 227,982

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Solution

The third proportional to 107,592 and 227,982 is: 483,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,592 : 227,982 = 227,982 : x
  2. Step 2: Convert to fraction form
    107,592/227,982 = 227,982/x
  3. Step 3: Cross multiply
    107,592x = 227,982 × 227,982
  4. Step 4: Simplify right side
    107,592x = 51,975,792,324
  5. Step 5: Solve for x
    x = 51,975,792,324/107,592
  6. Step 6: Final answer
    x = 483,082.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.