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Finding the Third Proportional to 122,731 and 180,049

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Solution

The third proportional to 122,731 and 180,049 is: 264,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,731 : 180,049 = 180,049 : x
  2. Step 2: Convert to fraction form
    122,731/180,049 = 180,049/x
  3. Step 3: Cross multiply
    122,731x = 180,049 × 180,049
  4. Step 4: Simplify right side
    122,731x = 32,417,642,401
  5. Step 5: Solve for x
    x = 32,417,642,401/122,731
  6. Step 6: Final answer
    x = 264,135.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.