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Finding the Third Proportional to 50,114 and 106,900

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Solution

The third proportional to 50,114 and 106,900 is: 228,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,114 : 106,900 = 106,900 : x
  2. Step 2: Convert to fraction form
    50,114/106,900 = 106,900/x
  3. Step 3: Cross multiply
    50,114x = 106,900 × 106,900
  4. Step 4: Simplify right side
    50,114x = 11,427,610,000
  5. Step 5: Solve for x
    x = 11,427,610,000/50,114
  6. Step 6: Final answer
    x = 228,032.29

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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.