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Finding the Third Proportional to 106,975 and 149,549

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Solution

The third proportional to 106,975 and 149,549 is: 209,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,975 : 149,549 = 149,549 : x
  2. Step 2: Convert to fraction form
    106,975/149,549 = 149,549/x
  3. Step 3: Cross multiply
    106,975x = 149,549 × 149,549
  4. Step 4: Simplify right side
    106,975x = 22,364,903,401
  5. Step 5: Solve for x
    x = 22,364,903,401/106,975
  6. Step 6: Final answer
    x = 209,066.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.