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Finding the Third Proportional to 106,128 and 156,762

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Solution

The third proportional to 106,128 and 156,762 is: 231,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,128 : 156,762 = 156,762 : x
  2. Step 2: Convert to fraction form
    106,128/156,762 = 156,762/x
  3. Step 3: Cross multiply
    106,128x = 156,762 × 156,762
  4. Step 4: Simplify right side
    106,128x = 24,574,324,644
  5. Step 5: Solve for x
    x = 24,574,324,644/106,128
  6. Step 6: Final answer
    x = 231,553.64

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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.