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Finding the Third Proportional to 93,164 and 131,698

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Solution

The third proportional to 93,164 and 131,698 is: 186,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,164 : 131,698 = 131,698 : x
  2. Step 2: Convert to fraction form
    93,164/131,698 = 131,698/x
  3. Step 3: Cross multiply
    93,164x = 131,698 × 131,698
  4. Step 4: Simplify right side
    93,164x = 17,344,363,204
  5. Step 5: Solve for x
    x = 17,344,363,204/93,164
  6. Step 6: Final answer
    x = 186,170.23

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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.