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Finding the Third Proportional to 93,165 and 131,701

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Solution

The third proportional to 93,165 and 131,701 is: 186,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,165 : 131,701 = 131,701 : x
  2. Step 2: Convert to fraction form
    93,165/131,701 = 131,701/x
  3. Step 3: Cross multiply
    93,165x = 131,701 × 131,701
  4. Step 4: Simplify right side
    93,165x = 17,345,153,401
  5. Step 5: Solve for x
    x = 17,345,153,401/93,165
  6. Step 6: Final answer
    x = 186,176.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.