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Finding the Third Proportional to 101,196 and 150,973

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Solution

The third proportional to 101,196 and 150,973 is: 225,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,196 : 150,973 = 150,973 : x
  2. Step 2: Convert to fraction form
    101,196/150,973 = 150,973/x
  3. Step 3: Cross multiply
    101,196x = 150,973 × 150,973
  4. Step 4: Simplify right side
    101,196x = 22,792,846,729
  5. Step 5: Solve for x
    x = 22,792,846,729/101,196
  6. Step 6: Final answer
    x = 225,234.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.