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Finding the Third Proportional to 40,855 and 85,452

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Solution

The third proportional to 40,855 and 85,452 is: 178,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,855 : 85,452 = 85,452 : x
  2. Step 2: Convert to fraction form
    40,855/85,452 = 85,452/x
  3. Step 3: Cross multiply
    40,855x = 85,452 × 85,452
  4. Step 4: Simplify right side
    40,855x = 7,302,044,304
  5. Step 5: Solve for x
    x = 7,302,044,304/40,855
  6. Step 6: Final answer
    x = 178,730.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.