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Finding the Third Proportional to 101,194 and 150,970

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Solution

The third proportional to 101,194 and 150,970 is: 225,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,194 : 150,970 = 150,970 : x
  2. Step 2: Convert to fraction form
    101,194/150,970 = 150,970/x
  3. Step 3: Cross multiply
    101,194x = 150,970 × 150,970
  4. Step 4: Simplify right side
    101,194x = 22,791,940,900
  5. Step 5: Solve for x
    x = 22,791,940,900/101,194
  6. Step 6: Final answer
    x = 225,230.16

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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.