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Finding the Third Proportional to 50,145 and 106,788

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Solution

The third proportional to 50,145 and 106,788 is: 227,414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,145 : 106,788 = 106,788 : x
  2. Step 2: Convert to fraction form
    50,145/106,788 = 106,788/x
  3. Step 3: Cross multiply
    50,145x = 106,788 × 106,788
  4. Step 4: Simplify right side
    50,145x = 11,403,676,944
  5. Step 5: Solve for x
    x = 11,403,676,944/50,145
  6. Step 6: Final answer
    x = 227,414.04

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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.