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Finding the Third Proportional to 57,264 and 84,188

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Solution

The third proportional to 57,264 and 84,188 is: 123,770.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,264 : 84,188 = 84,188 : x
  2. Step 2: Convert to fraction form
    57,264/84,188 = 84,188/x
  3. Step 3: Cross multiply
    57,264x = 84,188 × 84,188
  4. Step 4: Simplify right side
    57,264x = 7,087,619,344
  5. Step 5: Solve for x
    x = 7,087,619,344/57,264
  6. Step 6: Final answer
    x = 123,770.94

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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.