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Finding the Third Proportional to 69,297 and 104,573

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Solution

The third proportional to 69,297 and 104,573 is: 157,806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,297 : 104,573 = 104,573 : x
  2. Step 2: Convert to fraction form
    69,297/104,573 = 104,573/x
  3. Step 3: Cross multiply
    69,297x = 104,573 × 104,573
  4. Step 4: Simplify right side
    69,297x = 10,935,512,329
  5. Step 5: Solve for x
    x = 10,935,512,329/69,297
  6. Step 6: Final answer
    x = 157,806.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.