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Finding the Third Proportional to 117,997 and 176,961

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Solution

The third proportional to 117,997 and 176,961 is: 265,389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,997 : 176,961 = 176,961 : x
  2. Step 2: Convert to fraction form
    117,997/176,961 = 176,961/x
  3. Step 3: Cross multiply
    117,997x = 176,961 × 176,961
  4. Step 4: Simplify right side
    117,997x = 31,315,195,521
  5. Step 5: Solve for x
    x = 31,315,195,521/117,997
  6. Step 6: Final answer
    x = 265,389.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.