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Finding the Third Proportional to 117,523 and 179,040

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Solution

The third proportional to 117,523 and 179,040 is: 272,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,523 : 179,040 = 179,040 : x
  2. Step 2: Convert to fraction form
    117,523/179,040 = 179,040/x
  3. Step 3: Cross multiply
    117,523x = 179,040 × 179,040
  4. Step 4: Simplify right side
    117,523x = 32,055,321,600
  5. Step 5: Solve for x
    x = 32,055,321,600/117,523
  6. Step 6: Final answer
    x = 272,757.86

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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.