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Finding the Third Proportional to 41,731 and 90,138

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Solution

The third proportional to 41,731 and 90,138 is: 194,696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,731 : 90,138 = 90,138 : x
  2. Step 2: Convert to fraction form
    41,731/90,138 = 90,138/x
  3. Step 3: Cross multiply
    41,731x = 90,138 × 90,138
  4. Step 4: Simplify right side
    41,731x = 8,124,859,044
  5. Step 5: Solve for x
    x = 8,124,859,044/41,731
  6. Step 6: Final answer
    x = 194,696.01

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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.