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Finding the Third Proportional to 69,299 and 96,550

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Solution

The third proportional to 69,299 and 96,550 is: 134,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,299 : 96,550 = 96,550 : x
  2. Step 2: Convert to fraction form
    69,299/96,550 = 96,550/x
  3. Step 3: Cross multiply
    69,299x = 96,550 × 96,550
  4. Step 4: Simplify right side
    69,299x = 9,321,902,500
  5. Step 5: Solve for x
    x = 9,321,902,500/69,299
  6. Step 6: Final answer
    x = 134,517.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.