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Finding the Third Proportional to 89,809 and 149,675

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Solution

The third proportional to 89,809 and 149,675 is: 249,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,809 : 149,675 = 149,675 : x
  2. Step 2: Convert to fraction form
    89,809/149,675 = 149,675/x
  3. Step 3: Cross multiply
    89,809x = 149,675 × 149,675
  4. Step 4: Simplify right side
    89,809x = 22,402,605,625
  5. Step 5: Solve for x
    x = 22,402,605,625/89,809
  6. Step 6: Final answer
    x = 249,447.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.