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Finding the Third Proportional to 106,062 and 148,665

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Solution

The third proportional to 106,062 and 148,665 is: 208,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,062 : 148,665 = 148,665 : x
  2. Step 2: Convert to fraction form
    106,062/148,665 = 148,665/x
  3. Step 3: Cross multiply
    106,062x = 148,665 × 148,665
  4. Step 4: Simplify right side
    106,062x = 22,101,282,225
  5. Step 5: Solve for x
    x = 22,101,282,225/106,062
  6. Step 6: Final answer
    x = 208,380.78

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.