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Finding the Third Proportional to 101,034 and 158,500

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Solution

The third proportional to 101,034 and 158,500 is: 248,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,034 : 158,500 = 158,500 : x
  2. Step 2: Convert to fraction form
    101,034/158,500 = 158,500/x
  3. Step 3: Cross multiply
    101,034x = 158,500 × 158,500
  4. Step 4: Simplify right side
    101,034x = 25,122,250,000
  5. Step 5: Solve for x
    x = 25,122,250,000/101,034
  6. Step 6: Final answer
    x = 248,651.44

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.