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Finding the Third Proportional to 117,015 and 179,745

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Solution

The third proportional to 117,015 and 179,745 is: 276,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,015 : 179,745 = 179,745 : x
  2. Step 2: Convert to fraction form
    117,015/179,745 = 179,745/x
  3. Step 3: Cross multiply
    117,015x = 179,745 × 179,745
  4. Step 4: Simplify right side
    117,015x = 32,308,265,025
  5. Step 5: Solve for x
    x = 32,308,265,025/117,015
  6. Step 6: Final answer
    x = 276,103.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.