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Finding the Third Proportional to 117,682 and 179,602

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Solution

The third proportional to 117,682 and 179,602 is: 274,102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,682 : 179,602 = 179,602 : x
  2. Step 2: Convert to fraction form
    117,682/179,602 = 179,602/x
  3. Step 3: Cross multiply
    117,682x = 179,602 × 179,602
  4. Step 4: Simplify right side
    117,682x = 32,256,878,404
  5. Step 5: Solve for x
    x = 32,256,878,404/117,682
  6. Step 6: Final answer
    x = 274,102.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.