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Finding the Third Proportional to 106,264 and 156,966

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Solution

The third proportional to 106,264 and 156,966 is: 231,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,264 : 156,966 = 156,966 : x
  2. Step 2: Convert to fraction form
    106,264/156,966 = 156,966/x
  3. Step 3: Cross multiply
    106,264x = 156,966 × 156,966
  4. Step 4: Simplify right side
    106,264x = 24,638,325,156
  5. Step 5: Solve for x
    x = 24,638,325,156/106,264
  6. Step 6: Final answer
    x = 231,859.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.