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Finding the Third Proportional to 40,282 and 85,743

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Solution

The third proportional to 40,282 and 85,743 is: 182,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,282 : 85,743 = 85,743 : x
  2. Step 2: Convert to fraction form
    40,282/85,743 = 85,743/x
  3. Step 3: Cross multiply
    40,282x = 85,743 × 85,743
  4. Step 4: Simplify right side
    40,282x = 7,351,862,049
  5. Step 5: Solve for x
    x = 7,351,862,049/40,282
  6. Step 6: Final answer
    x = 182,509.86

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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.