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Finding the Third Proportional to 57,204 and 85,482

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Solution

The third proportional to 57,204 and 85,482 is: 127,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,204 : 85,482 = 85,482 : x
  2. Step 2: Convert to fraction form
    57,204/85,482 = 85,482/x
  3. Step 3: Cross multiply
    57,204x = 85,482 × 85,482
  4. Step 4: Simplify right side
    57,204x = 7,307,172,324
  5. Step 5: Solve for x
    x = 7,307,172,324/57,204
  6. Step 6: Final answer
    x = 127,738.84

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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.