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Finding the Third Proportional to 131,977 and 179,307

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Solution

The third proportional to 131,977 and 179,307 is: 243,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,977 : 179,307 = 179,307 : x
  2. Step 2: Convert to fraction form
    131,977/179,307 = 179,307/x
  3. Step 3: Cross multiply
    131,977x = 179,307 × 179,307
  4. Step 4: Simplify right side
    131,977x = 32,151,000,249
  5. Step 5: Solve for x
    x = 32,151,000,249/131,977
  6. Step 6: Final answer
    x = 243,610.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.