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Finding the Third Proportional to 62,317 and 137,094

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Solution

The third proportional to 62,317 and 137,094 is: 301,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,317 : 137,094 = 137,094 : x
  2. Step 2: Convert to fraction form
    62,317/137,094 = 137,094/x
  3. Step 3: Cross multiply
    62,317x = 137,094 × 137,094
  4. Step 4: Simplify right side
    62,317x = 18,794,764,836
  5. Step 5: Solve for x
    x = 18,794,764,836/62,317
  6. Step 6: Final answer
    x = 301,599.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.