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Finding the Third Proportional to 92,322 and 150,739

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Solution

The third proportional to 92,322 and 150,739 is: 246,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,322 : 150,739 = 150,739 : x
  2. Step 2: Convert to fraction form
    92,322/150,739 = 150,739/x
  3. Step 3: Cross multiply
    92,322x = 150,739 × 150,739
  4. Step 4: Simplify right side
    92,322x = 22,722,246,121
  5. Step 5: Solve for x
    x = 22,722,246,121/92,322
  6. Step 6: Final answer
    x = 246,119.52

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.