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Finding the Third Proportional to 100,186 and 149,964

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Solution

The third proportional to 100,186 and 149,964 is: 224,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,186 : 149,964 = 149,964 : x
  2. Step 2: Convert to fraction form
    100,186/149,964 = 149,964/x
  3. Step 3: Cross multiply
    100,186x = 149,964 × 149,964
  4. Step 4: Simplify right side
    100,186x = 22,489,201,296
  5. Step 5: Solve for x
    x = 22,489,201,296/100,186
  6. Step 6: Final answer
    x = 224,474.49

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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.