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Finding the Third Proportional to 117,553 and 179,094

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Solution

The third proportional to 117,553 and 179,094 is: 272,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,553 : 179,094 = 179,094 : x
  2. Step 2: Convert to fraction form
    117,553/179,094 = 179,094/x
  3. Step 3: Cross multiply
    117,553x = 179,094 × 179,094
  4. Step 4: Simplify right side
    117,553x = 32,074,660,836
  5. Step 5: Solve for x
    x = 32,074,660,836/117,553
  6. Step 6: Final answer
    x = 272,852.76

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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.