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Finding the Third Proportional to 66,654 and 106,002

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Solution

The third proportional to 66,654 and 106,002 is: 168,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,654 : 106,002 = 106,002 : x
  2. Step 2: Convert to fraction form
    66,654/106,002 = 106,002/x
  3. Step 3: Cross multiply
    66,654x = 106,002 × 106,002
  4. Step 4: Simplify right side
    66,654x = 11,236,424,004
  5. Step 5: Solve for x
    x = 11,236,424,004/66,654
  6. Step 6: Final answer
    x = 168,578.39

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.