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Finding the Third Proportional to 56,934 and 85,584

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Solution

The third proportional to 56,934 and 85,584 is: 128,651.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,934 : 85,584 = 85,584 : x
  2. Step 2: Convert to fraction form
    56,934/85,584 = 85,584/x
  3. Step 3: Cross multiply
    56,934x = 85,584 × 85,584
  4. Step 4: Simplify right side
    56,934x = 7,324,621,056
  5. Step 5: Solve for x
    x = 7,324,621,056/56,934
  6. Step 6: Final answer
    x = 128,651.09

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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.