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Finding the Third Proportional to 69,284 and 111,576

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Solution

The third proportional to 69,284 and 111,576 is: 179,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,284 : 111,576 = 111,576 : x
  2. Step 2: Convert to fraction form
    69,284/111,576 = 111,576/x
  3. Step 3: Cross multiply
    69,284x = 111,576 × 111,576
  4. Step 4: Simplify right side
    69,284x = 12,449,203,776
  5. Step 5: Solve for x
    x = 12,449,203,776/69,284
  6. Step 6: Final answer
    x = 179,683.68

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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.