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Finding the Third Proportional to 62,192 and 136,516

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Solution

The third proportional to 62,192 and 136,516 is: 299,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,192 : 136,516 = 136,516 : x
  2. Step 2: Convert to fraction form
    62,192/136,516 = 136,516/x
  3. Step 3: Cross multiply
    62,192x = 136,516 × 136,516
  4. Step 4: Simplify right side
    62,192x = 18,636,618,256
  5. Step 5: Solve for x
    x = 18,636,618,256/62,192
  6. Step 6: Final answer
    x = 299,662.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.