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Finding the Third Proportional to 49,772.50 and 108,291.50

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Solution

The third proportional to 49,772.50 and 108,291.50 is: 235,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,772.50 : 108,291.50 = 108,291.50 : x
  2. Step 2: Convert to fraction form
    49,772.50/108,291.50 = 108,291.50/x
  3. Step 3: Cross multiply
    49,772.50x = 108,291.50 × 108,291.50
  4. Step 4: Simplify right side
    49,772.50x = 11,727,048,972.25
  5. Step 5: Solve for x
    x = 11,727,048,972.25/49,772.50
  6. Step 6: Final answer
    x = 235,613.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.