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Finding the Third Proportional to 69,298 and 108,003

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Solution

The third proportional to 69,298 and 108,003 is: 168,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,298 : 108,003 = 108,003 : x
  2. Step 2: Convert to fraction form
    69,298/108,003 = 108,003/x
  3. Step 3: Cross multiply
    69,298x = 108,003 × 108,003
  4. Step 4: Simplify right side
    69,298x = 11,664,648,009
  5. Step 5: Solve for x
    x = 11,664,648,009/69,298
  6. Step 6: Final answer
    x = 168,325.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.