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Finding the Third Proportional to 57,000 and 85,182

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Solution

The third proportional to 57,000 and 85,182 is: 127,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,000 : 85,182 = 85,182 : x
  2. Step 2: Convert to fraction form
    57,000/85,182 = 85,182/x
  3. Step 3: Cross multiply
    57,000x = 85,182 × 85,182
  4. Step 4: Simplify right side
    57,000x = 7,255,973,124
  5. Step 5: Solve for x
    x = 7,255,973,124/57,000
  6. Step 6: Final answer
    x = 127,297.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.