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Finding the Third Proportional to 69,298 and 111,603

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Solution

The third proportional to 69,298 and 111,603 is: 179,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,298 : 111,603 = 111,603 : x
  2. Step 2: Convert to fraction form
    69,298/111,603 = 111,603/x
  3. Step 3: Cross multiply
    69,298x = 111,603 × 111,603
  4. Step 4: Simplify right side
    69,298x = 12,455,229,609
  5. Step 5: Solve for x
    x = 12,455,229,609/69,298
  6. Step 6: Final answer
    x = 179,734.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.