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Finding the Third Proportional to 49,091.50 and 106,025

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Solution

The third proportional to 49,091.50 and 106,025 is: 228,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,091.50 : 106,025 = 106,025 : x
  2. Step 2: Convert to fraction form
    49,091.50/106,025 = 106,025/x
  3. Step 3: Cross multiply
    49,091.50x = 106,025 × 106,025
  4. Step 4: Simplify right side
    49,091.50x = 11,241,300,625
  5. Step 5: Solve for x
    x = 11,241,300,625/49,091.50
  6. Step 6: Final answer
    x = 228,986.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.