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Finding the Third Proportional to 43,614 and 69,173

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Solution

The third proportional to 43,614 and 69,173 is: 109,710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,614 : 69,173 = 69,173 : x
  2. Step 2: Convert to fraction form
    43,614/69,173 = 69,173/x
  3. Step 3: Cross multiply
    43,614x = 69,173 × 69,173
  4. Step 4: Simplify right side
    43,614x = 4,784,903,929
  5. Step 5: Solve for x
    x = 4,784,903,929/43,614
  6. Step 6: Final answer
    x = 109,710.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.