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Finding the Third Proportional to 41,411 and 85,860

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Solution

The third proportional to 41,411 and 85,860 is: 178,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,411 : 85,860 = 85,860 : x
  2. Step 2: Convert to fraction form
    41,411/85,860 = 85,860/x
  3. Step 3: Cross multiply
    41,411x = 85,860 × 85,860
  4. Step 4: Simplify right side
    41,411x = 7,371,939,600
  5. Step 5: Solve for x
    x = 7,371,939,600/41,411
  6. Step 6: Final answer
    x = 178,018.87

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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.