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Finding the Third Proportional to 51,976.13 and 95,853.09

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Solution

The third proportional to 51,976.13 and 95,853.09 is: 176,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,976.13 : 95,853.09 = 95,853.09 : x
  2. Step 2: Convert to fraction form
    51,976.13/95,853.09 = 95,853.09/x
  3. Step 3: Cross multiply
    51,976.13x = 95,853.09 × 95,853.09
  4. Step 4: Simplify right side
    51,976.13x = 9,187,815,581.45
  5. Step 5: Solve for x
    x = 9,187,815,581.45/51,976.13
  6. Step 6: Final answer
    x = 176,769.92

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.