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Finding the Third Proportional to 84,677 and 180,601

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Solution

The third proportional to 84,677 and 180,601 is: 385,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,677 : 180,601 = 180,601 : x
  2. Step 2: Convert to fraction form
    84,677/180,601 = 180,601/x
  3. Step 3: Cross multiply
    84,677x = 180,601 × 180,601
  4. Step 4: Simplify right side
    84,677x = 32,616,721,201
  5. Step 5: Solve for x
    x = 32,616,721,201/84,677
  6. Step 6: Final answer
    x = 385,189.85

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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.