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Finding the Third Proportional to 110,704.50 and 167,373

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Solution

The third proportional to 110,704.50 and 167,373 is: 253,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,704.50 : 167,373 = 167,373 : x
  2. Step 2: Convert to fraction form
    110,704.50/167,373 = 167,373/x
  3. Step 3: Cross multiply
    110,704.50x = 167,373 × 167,373
  4. Step 4: Simplify right side
    110,704.50x = 28,013,721,129
  5. Step 5: Solve for x
    x = 28,013,721,129/110,704.50
  6. Step 6: Final answer
    x = 253,049.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.