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Finding the Third Proportional to 100,017 and 149,742

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Solution

The third proportional to 100,017 and 149,742 is: 224,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,017 : 149,742 = 149,742 : x
  2. Step 2: Convert to fraction form
    100,017/149,742 = 149,742/x
  3. Step 3: Cross multiply
    100,017x = 149,742 × 149,742
  4. Step 4: Simplify right side
    100,017x = 22,422,666,564
  5. Step 5: Solve for x
    x = 22,422,666,564/100,017
  6. Step 6: Final answer
    x = 224,188.55

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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.