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Finding the Third Proportional to 50,018 and 106,732

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Solution

The third proportional to 50,018 and 106,732 is: 227,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,018 : 106,732 = 106,732 : x
  2. Step 2: Convert to fraction form
    50,018/106,732 = 106,732/x
  3. Step 3: Cross multiply
    50,018x = 106,732 × 106,732
  4. Step 4: Simplify right side
    50,018x = 11,391,719,824
  5. Step 5: Solve for x
    x = 11,391,719,824/50,018
  6. Step 6: Final answer
    x = 227,752.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.