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Finding the Third Proportional to 49,871.50 and 106,655

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Solution

The third proportional to 49,871.50 and 106,655 is: 228,091.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,871.50 : 106,655 = 106,655 : x
  2. Step 2: Convert to fraction form
    49,871.50/106,655 = 106,655/x
  3. Step 3: Cross multiply
    49,871.50x = 106,655 × 106,655
  4. Step 4: Simplify right side
    49,871.50x = 11,375,289,025
  5. Step 5: Solve for x
    x = 11,375,289,025/49,871.50
  6. Step 6: Final answer
    x = 228,091.98

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