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Finding the Third Proportional to 60,204 and 128,182

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Solution

The third proportional to 60,204 and 128,182 is: 272,915.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,204 : 128,182 = 128,182 : x
  2. Step 2: Convert to fraction form
    60,204/128,182 = 128,182/x
  3. Step 3: Cross multiply
    60,204x = 128,182 × 128,182
  4. Step 4: Simplify right side
    60,204x = 16,430,625,124
  5. Step 5: Solve for x
    x = 16,430,625,124/60,204
  6. Step 6: Final answer
    x = 272,915.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.