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Finding the Third Proportional to 41,126 and 85,164

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Solution

The third proportional to 41,126 and 85,164 is: 176,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,126 : 85,164 = 85,164 : x
  2. Step 2: Convert to fraction form
    41,126/85,164 = 85,164/x
  3. Step 3: Cross multiply
    41,126x = 85,164 × 85,164
  4. Step 4: Simplify right side
    41,126x = 7,252,906,896
  5. Step 5: Solve for x
    x = 7,252,906,896/41,126
  6. Step 6: Final answer
    x = 176,358.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.