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Finding the Third Proportional to 62,324 and 135,164

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Solution

The third proportional to 62,324 and 135,164 is: 293,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,324 : 135,164 = 135,164 : x
  2. Step 2: Convert to fraction form
    62,324/135,164 = 135,164/x
  3. Step 3: Cross multiply
    62,324x = 135,164 × 135,164
  4. Step 4: Simplify right side
    62,324x = 18,269,306,896
  5. Step 5: Solve for x
    x = 18,269,306,896/62,324
  6. Step 6: Final answer
    x = 293,134.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.