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Finding the Third Proportional to 82,587 and 180,993

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Solution

The third proportional to 82,587 and 180,993 is: 396,654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,587 : 180,993 = 180,993 : x
  2. Step 2: Convert to fraction form
    82,587/180,993 = 180,993/x
  3. Step 3: Cross multiply
    82,587x = 180,993 × 180,993
  4. Step 4: Simplify right side
    82,587x = 32,758,466,049
  5. Step 5: Solve for x
    x = 32,758,466,049/82,587
  6. Step 6: Final answer
    x = 396,654.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.