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Finding the Third Proportional to 69,498 and 104,976

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Solution

The third proportional to 69,498 and 104,976 is: 158,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,498 : 104,976 = 104,976 : x
  2. Step 2: Convert to fraction form
    69,498/104,976 = 104,976/x
  3. Step 3: Cross multiply
    69,498x = 104,976 × 104,976
  4. Step 4: Simplify right side
    69,498x = 11,019,960,576
  5. Step 5: Solve for x
    x = 11,019,960,576/69,498
  6. Step 6: Final answer
    x = 158,565.15

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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.