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Finding the Third Proportional to 101,928 and 149,896

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Solution

The third proportional to 101,928 and 149,896 is: 220,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,928 : 149,896 = 149,896 : x
  2. Step 2: Convert to fraction form
    101,928/149,896 = 149,896/x
  3. Step 3: Cross multiply
    101,928x = 149,896 × 149,896
  4. Step 4: Simplify right side
    101,928x = 22,468,810,816
  5. Step 5: Solve for x
    x = 22,468,810,816/101,928
  6. Step 6: Final answer
    x = 220,438.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.