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Finding the Third Proportional to 41,770 and 90,108

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Solution

The third proportional to 41,770 and 90,108 is: 194,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,770 : 90,108 = 90,108 : x
  2. Step 2: Convert to fraction form
    41,770/90,108 = 90,108/x
  3. Step 3: Cross multiply
    41,770x = 90,108 × 90,108
  4. Step 4: Simplify right side
    41,770x = 8,119,451,664
  5. Step 5: Solve for x
    x = 8,119,451,664/41,770
  6. Step 6: Final answer
    x = 194,384.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.