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Finding the Third Proportional to 80,762 and 122,601

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Solution

The third proportional to 80,762 and 122,601 is: 186,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,762 : 122,601 = 122,601 : x
  2. Step 2: Convert to fraction form
    80,762/122,601 = 122,601/x
  3. Step 3: Cross multiply
    80,762x = 122,601 × 122,601
  4. Step 4: Simplify right side
    80,762x = 15,031,005,201
  5. Step 5: Solve for x
    x = 15,031,005,201/80,762
  6. Step 6: Final answer
    x = 186,114.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.