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Finding the Third Proportional to 62,991 and 134,406

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Solution

The third proportional to 62,991 and 134,406 is: 286,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,991 : 134,406 = 134,406 : x
  2. Step 2: Convert to fraction form
    62,991/134,406 = 134,406/x
  3. Step 3: Cross multiply
    62,991x = 134,406 × 134,406
  4. Step 4: Simplify right side
    62,991x = 18,064,972,836
  5. Step 5: Solve for x
    x = 18,064,972,836/62,991
  6. Step 6: Final answer
    x = 286,786.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.