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Finding the Third Proportional to 49,945.50 and 109,545.75

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Solution

The third proportional to 49,945.50 and 109,545.75 is: 240,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,945.50 : 109,545.75 = 109,545.75 : x
  2. Step 2: Convert to fraction form
    49,945.50/109,545.75 = 109,545.75/x
  3. Step 3: Cross multiply
    49,945.50x = 109,545.75 × 109,545.75
  4. Step 4: Simplify right side
    49,945.50x = 12,000,271,343.06
  5. Step 5: Solve for x
    x = 12,000,271,343.06/49,945.50
  6. Step 6: Final answer
    x = 240,267.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.