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Finding the Third Proportional to 117,704 and 174,266

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Solution

The third proportional to 117,704 and 174,266 is: 258,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,704 : 174,266 = 174,266 : x
  2. Step 2: Convert to fraction form
    117,704/174,266 = 174,266/x
  3. Step 3: Cross multiply
    117,704x = 174,266 × 174,266
  4. Step 4: Simplify right side
    117,704x = 30,368,638,756
  5. Step 5: Solve for x
    x = 30,368,638,756/117,704
  6. Step 6: Final answer
    x = 258,008.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.