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Finding the Third Proportional to 62,441 and 135,969

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Solution

The third proportional to 62,441 and 135,969 is: 296,080.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,441 : 135,969 = 135,969 : x
  2. Step 2: Convert to fraction form
    62,441/135,969 = 135,969/x
  3. Step 3: Cross multiply
    62,441x = 135,969 × 135,969
  4. Step 4: Simplify right side
    62,441x = 18,487,568,961
  5. Step 5: Solve for x
    x = 18,487,568,961/62,441
  6. Step 6: Final answer
    x = 296,080.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.