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Finding the Third Proportional to 100,152 and 149,916

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Solution

The third proportional to 100,152 and 149,916 is: 224,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,152 : 149,916 = 149,916 : x
  2. Step 2: Convert to fraction form
    100,152/149,916 = 149,916/x
  3. Step 3: Cross multiply
    100,152x = 149,916 × 149,916
  4. Step 4: Simplify right side
    100,152x = 22,474,807,056
  5. Step 5: Solve for x
    x = 22,474,807,056/100,152
  6. Step 6: Final answer
    x = 224,406.97

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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.