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Finding the Third Proportional to 69,321 and 111,606

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Solution

The third proportional to 69,321 and 111,606 is: 179,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,321 : 111,606 = 111,606 : x
  2. Step 2: Convert to fraction form
    69,321/111,606 = 111,606/x
  3. Step 3: Cross multiply
    69,321x = 111,606 × 111,606
  4. Step 4: Simplify right side
    69,321x = 12,455,899,236
  5. Step 5: Solve for x
    x = 12,455,899,236/69,321
  6. Step 6: Final answer
    x = 179,684.36

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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.