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Finding the Third Proportional to 69,234 and 162,104

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Solution

The third proportional to 69,234 and 162,104 is: 379,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,234 : 162,104 = 162,104 : x
  2. Step 2: Convert to fraction form
    69,234/162,104 = 162,104/x
  3. Step 3: Cross multiply
    69,234x = 162,104 × 162,104
  4. Step 4: Simplify right side
    69,234x = 26,277,706,816
  5. Step 5: Solve for x
    x = 26,277,706,816/69,234
  6. Step 6: Final answer
    x = 379,549.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.