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Finding the Third Proportional to 40,311 and 85,887

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Solution

The third proportional to 40,311 and 85,887 is: 182,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,311 : 85,887 = 85,887 : x
  2. Step 2: Convert to fraction form
    40,311/85,887 = 85,887/x
  3. Step 3: Cross multiply
    40,311x = 85,887 × 85,887
  4. Step 4: Simplify right side
    40,311x = 7,376,576,769
  5. Step 5: Solve for x
    x = 7,376,576,769/40,311
  6. Step 6: Final answer
    x = 182,991.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.