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Finding the Third Proportional to 56,178.56 and 84,108.38

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Solution

The third proportional to 56,178.56 and 84,108.38 is: 125,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,178.56 : 84,108.38 = 84,108.38 : x
  2. Step 2: Convert to fraction form
    56,178.56/84,108.38 = 84,108.38/x
  3. Step 3: Cross multiply
    56,178.56x = 84,108.38 × 84,108.38
  4. Step 4: Simplify right side
    56,178.56x = 7,074,218,745.14
  5. Step 5: Solve for x
    x = 7,074,218,745.14/56,178.56
  6. Step 6: Final answer
    x = 125,923.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.