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Finding the Third Proportional to 49,898 and 106,712

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Solution

The third proportional to 49,898 and 106,712 is: 228,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,898 : 106,712 = 106,712 : x
  2. Step 2: Convert to fraction form
    49,898/106,712 = 106,712/x
  3. Step 3: Cross multiply
    49,898x = 106,712 × 106,712
  4. Step 4: Simplify right side
    49,898x = 11,387,450,944
  5. Step 5: Solve for x
    x = 11,387,450,944/49,898
  6. Step 6: Final answer
    x = 228,214.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.