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Finding the Third Proportional to 93,477 and 131,163

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Solution

The third proportional to 93,477 and 131,163 is: 184,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,477 : 131,163 = 131,163 : x
  2. Step 2: Convert to fraction form
    93,477/131,163 = 131,163/x
  3. Step 3: Cross multiply
    93,477x = 131,163 × 131,163
  4. Step 4: Simplify right side
    93,477x = 17,203,732,569
  5. Step 5: Solve for x
    x = 17,203,732,569/93,477
  6. Step 6: Final answer
    x = 184,042.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.