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Finding the Third Proportional to 101,742 and 149,671

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Solution

The third proportional to 101,742 and 149,671 is: 220,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742 : 149,671 = 149,671 : x
  2. Step 2: Convert to fraction form
    101,742/149,671 = 149,671/x
  3. Step 3: Cross multiply
    101,742x = 149,671 × 149,671
  4. Step 4: Simplify right side
    101,742x = 22,401,408,241
  5. Step 5: Solve for x
    x = 22,401,408,241/101,742
  6. Step 6: Final answer
    x = 220,178.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.