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Finding the Third Proportional to 49,874.25 and 106,660.50

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Solution

The third proportional to 49,874.25 and 106,660.50 is: 228,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,874.25 : 106,660.50 = 106,660.50 : x
  2. Step 2: Convert to fraction form
    49,874.25/106,660.50 = 106,660.50/x
  3. Step 3: Cross multiply
    49,874.25x = 106,660.50 × 106,660.50
  4. Step 4: Simplify right side
    49,874.25x = 11,376,462,260.25
  5. Step 5: Solve for x
    x = 11,376,462,260.25/49,874.25
  6. Step 6: Final answer
    x = 228,102.92

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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.