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Finding the Third Proportional to 49,653 and 76,939.88

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Solution

The third proportional to 49,653 and 76,939.88 is: 119,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,653 : 76,939.88 = 76,939.88 : x
  2. Step 2: Convert to fraction form
    49,653/76,939.88 = 76,939.88/x
  3. Step 3: Cross multiply
    49,653x = 76,939.88 × 76,939.88
  4. Step 4: Simplify right side
    49,653x = 5,919,744,365.02
  5. Step 5: Solve for x
    x = 5,919,744,365.02/49,653
  6. Step 6: Final answer
    x = 119,222.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.