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Finding the Third Proportional to 68,272 and 106,002

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Solution

The third proportional to 68,272 and 106,002 is: 164,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,272 : 106,002 = 106,002 : x
  2. Step 2: Convert to fraction form
    68,272/106,002 = 106,002/x
  3. Step 3: Cross multiply
    68,272x = 106,002 × 106,002
  4. Step 4: Simplify right side
    68,272x = 11,236,424,004
  5. Step 5: Solve for x
    x = 11,236,424,004/68,272
  6. Step 6: Final answer
    x = 164,583.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.