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Finding the Third Proportional to 117,521 and 179,035

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Solution

The third proportional to 117,521 and 179,035 is: 272,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,521 : 179,035 = 179,035 : x
  2. Step 2: Convert to fraction form
    117,521/179,035 = 179,035/x
  3. Step 3: Cross multiply
    117,521x = 179,035 × 179,035
  4. Step 4: Simplify right side
    117,521x = 32,053,531,225
  5. Step 5: Solve for x
    x = 32,053,531,225/117,521
  6. Step 6: Final answer
    x = 272,747.26

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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.