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Finding the Third Proportional to 49,279.50 and 111,717

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Solution

The third proportional to 49,279.50 and 111,717 is: 253,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,279.50 : 111,717 = 111,717 : x
  2. Step 2: Convert to fraction form
    49,279.50/111,717 = 111,717/x
  3. Step 3: Cross multiply
    49,279.50x = 111,717 × 111,717
  4. Step 4: Simplify right side
    49,279.50x = 12,480,688,089
  5. Step 5: Solve for x
    x = 12,480,688,089/49,279.50
  6. Step 6: Final answer
    x = 253,263.29

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.