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Finding the Third Proportional to 62,080 and 82,100

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Solution

The third proportional to 62,080 and 82,100 is: 108,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,080 : 82,100 = 82,100 : x
  2. Step 2: Convert to fraction form
    62,080/82,100 = 82,100/x
  3. Step 3: Cross multiply
    62,080x = 82,100 × 82,100
  4. Step 4: Simplify right side
    62,080x = 6,740,410,000
  5. Step 5: Solve for x
    x = 6,740,410,000/62,080
  6. Step 6: Final answer
    x = 108,576.19

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.