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Finding the Third Proportional to 57,296 and 84,186

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Solution

The third proportional to 57,296 and 84,186 is: 123,695.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,296 : 84,186 = 84,186 : x
  2. Step 2: Convert to fraction form
    57,296/84,186 = 84,186/x
  3. Step 3: Cross multiply
    57,296x = 84,186 × 84,186
  4. Step 4: Simplify right side
    57,296x = 7,087,282,596
  5. Step 5: Solve for x
    x = 7,087,282,596/57,296
  6. Step 6: Final answer
    x = 123,695.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.