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Finding the Third Proportional to 100,192 and 149,972

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Solution

The third proportional to 100,192 and 149,972 is: 224,485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,192 : 149,972 = 149,972 : x
  2. Step 2: Convert to fraction form
    100,192/149,972 = 149,972/x
  3. Step 3: Cross multiply
    100,192x = 149,972 × 149,972
  4. Step 4: Simplify right side
    100,192x = 22,491,600,784
  5. Step 5: Solve for x
    x = 22,491,600,784/100,192
  6. Step 6: Final answer
    x = 224,485.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.