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Finding the Third Proportional to 56,739.38 and 85,353.75

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Solution

The third proportional to 56,739.38 and 85,353.75 is: 128,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,739.38 : 85,353.75 = 85,353.75 : x
  2. Step 2: Convert to fraction form
    56,739.38/85,353.75 = 85,353.75/x
  3. Step 3: Cross multiply
    56,739.38x = 85,353.75 × 85,353.75
  4. Step 4: Simplify right side
    56,739.38x = 7,285,262,639.06
  5. Step 5: Solve for x
    x = 7,285,262,639.06/56,739.38
  6. Step 6: Final answer
    x = 128,398.71

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Why These Related Problems?

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