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Finding the Third Proportional to 60,192 and 128,161

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Solution

The third proportional to 60,192 and 128,161 is: 272,880.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,192 : 128,161 = 128,161 : x
  2. Step 2: Convert to fraction form
    60,192/128,161 = 128,161/x
  3. Step 3: Cross multiply
    60,192x = 128,161 × 128,161
  4. Step 4: Simplify right side
    60,192x = 16,425,241,921
  5. Step 5: Solve for x
    x = 16,425,241,921/60,192
  6. Step 6: Final answer
    x = 272,880.81

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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.