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Finding the Third Proportional to 106,946 and 149,512

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Solution

The third proportional to 106,946 and 149,512 is: 209,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,946 : 149,512 = 149,512 : x
  2. Step 2: Convert to fraction form
    106,946/149,512 = 149,512/x
  3. Step 3: Cross multiply
    106,946x = 149,512 × 149,512
  4. Step 4: Simplify right side
    106,946x = 22,353,838,144
  5. Step 5: Solve for x
    x = 22,353,838,144/106,946
  6. Step 6: Final answer
    x = 209,019.86

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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.