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Finding the Third Proportional to 101,192 and 150,967

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Solution

The third proportional to 101,192 and 150,967 is: 225,225.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,192 : 150,967 = 150,967 : x
  2. Step 2: Convert to fraction form
    101,192/150,967 = 150,967/x
  3. Step 3: Cross multiply
    101,192x = 150,967 × 150,967
  4. Step 4: Simplify right side
    101,192x = 22,791,035,089
  5. Step 5: Solve for x
    x = 22,791,035,089/101,192
  6. Step 6: Final answer
    x = 225,225.66

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Why These Related Problems?

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