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Finding the Third Proportional to 49,623.75 and 108,168.75

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Solution

The third proportional to 49,623.75 and 108,168.75 is: 235,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,623.75 : 108,168.75 = 108,168.75 : x
  2. Step 2: Convert to fraction form
    49,623.75/108,168.75 = 108,168.75/x
  3. Step 3: Cross multiply
    49,623.75x = 108,168.75 × 108,168.75
  4. Step 4: Simplify right side
    49,623.75x = 11,700,478,476.56
  5. Step 5: Solve for x
    x = 11,700,478,476.56/49,623.75
  6. Step 6: Final answer
    x = 235,783.84

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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.