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Finding the Third Proportional to 82,832 and 106,392

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Solution

The third proportional to 82,832 and 106,392 is: 136,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,832 : 106,392 = 106,392 : x
  2. Step 2: Convert to fraction form
    82,832/106,392 = 106,392/x
  3. Step 3: Cross multiply
    82,832x = 106,392 × 106,392
  4. Step 4: Simplify right side
    82,832x = 11,319,257,664
  5. Step 5: Solve for x
    x = 11,319,257,664/82,832
  6. Step 6: Final answer
    x = 136,653.20

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.