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Finding the Third Proportional to 100,954.50 and 158,390

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Solution

The third proportional to 100,954.50 and 158,390 is: 248,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,954.50 : 158,390 = 158,390 : x
  2. Step 2: Convert to fraction form
    100,954.50/158,390 = 158,390/x
  3. Step 3: Cross multiply
    100,954.50x = 158,390 × 158,390
  4. Step 4: Simplify right side
    100,954.50x = 25,087,392,100
  5. Step 5: Solve for x
    x = 25,087,392,100/100,954.50
  6. Step 6: Final answer
    x = 248,501.97

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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.