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Finding the Third Proportional to 69,517 and 115,059

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Solution

The third proportional to 69,517 and 115,059 is: 190,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,517 : 115,059 = 115,059 : x
  2. Step 2: Convert to fraction form
    69,517/115,059 = 115,059/x
  3. Step 3: Cross multiply
    69,517x = 115,059 × 115,059
  4. Step 4: Simplify right side
    69,517x = 13,238,573,481
  5. Step 5: Solve for x
    x = 13,238,573,481/69,517
  6. Step 6: Final answer
    x = 190,436.49

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.