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Finding the Third Proportional to 100,901.25 and 158,301

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Solution

The third proportional to 100,901.25 and 158,301 is: 248,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,901.25 : 158,301 = 158,301 : x
  2. Step 2: Convert to fraction form
    100,901.25/158,301 = 158,301/x
  3. Step 3: Cross multiply
    100,901.25x = 158,301 × 158,301
  4. Step 4: Simplify right side
    100,901.25x = 25,059,206,601
  5. Step 5: Solve for x
    x = 25,059,206,601/100,901.25
  6. Step 6: Final answer
    x = 248,353.78

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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.