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Finding the Third Proportional to 41,770 and 90,465

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Solution

The third proportional to 41,770 and 90,465 is: 195,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,770 : 90,465 = 90,465 : x
  2. Step 2: Convert to fraction form
    41,770/90,465 = 90,465/x
  3. Step 3: Cross multiply
    41,770x = 90,465 × 90,465
  4. Step 4: Simplify right side
    41,770x = 8,183,916,225
  5. Step 5: Solve for x
    x = 8,183,916,225/41,770
  6. Step 6: Final answer
    x = 195,928.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.