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Finding the Third Proportional to 69,684 and 106,164

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Solution

The third proportional to 69,684 and 106,164 is: 161,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,684 : 106,164 = 106,164 : x
  2. Step 2: Convert to fraction form
    69,684/106,164 = 106,164/x
  3. Step 3: Cross multiply
    69,684x = 106,164 × 106,164
  4. Step 4: Simplify right side
    69,684x = 11,270,794,896
  5. Step 5: Solve for x
    x = 11,270,794,896/69,684
  6. Step 6: Final answer
    x = 161,741.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.