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Finding the Third Proportional to 50,004.50 and 106,705

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Solution

The third proportional to 50,004.50 and 106,705 is: 227,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,004.50 : 106,705 = 106,705 : x
  2. Step 2: Convert to fraction form
    50,004.50/106,705 = 106,705/x
  3. Step 3: Cross multiply
    50,004.50x = 106,705 × 106,705
  4. Step 4: Simplify right side
    50,004.50x = 11,385,957,025
  5. Step 5: Solve for x
    x = 11,385,957,025/50,004.50
  6. Step 6: Final answer
    x = 227,698.65

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.