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Finding the Third Proportional to 40,475 and 85,881

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Solution

The third proportional to 40,475 and 85,881 is: 182,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,475 : 85,881 = 85,881 : x
  2. Step 2: Convert to fraction form
    40,475/85,881 = 85,881/x
  3. Step 3: Cross multiply
    40,475x = 85,881 × 85,881
  4. Step 4: Simplify right side
    40,475x = 7,375,546,161
  5. Step 5: Solve for x
    x = 7,375,546,161/40,475
  6. Step 6: Final answer
    x = 182,224.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.