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Finding the Third Proportional to 69,646 and 104,467

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Solution

The third proportional to 69,646 and 104,467 is: 156,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,646 : 104,467 = 104,467 : x
  2. Step 2: Convert to fraction form
    69,646/104,467 = 104,467/x
  3. Step 3: Cross multiply
    69,646x = 104,467 × 104,467
  4. Step 4: Simplify right side
    69,646x = 10,913,354,089
  5. Step 5: Solve for x
    x = 10,913,354,089/69,646
  6. Step 6: Final answer
    x = 156,697.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.