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Finding the Third Proportional to 106,452 and 148,012

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Solution

The third proportional to 106,452 and 148,012 is: 205,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,452 : 148,012 = 148,012 : x
  2. Step 2: Convert to fraction form
    106,452/148,012 = 148,012/x
  3. Step 3: Cross multiply
    106,452x = 148,012 × 148,012
  4. Step 4: Simplify right side
    106,452x = 21,907,552,144
  5. Step 5: Solve for x
    x = 21,907,552,144/106,452
  6. Step 6: Final answer
    x = 205,797.47

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.