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Finding the Third Proportional to 73,667 and 156,946

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Solution

The third proportional to 73,667 and 156,946 is: 334,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,667 : 156,946 = 156,946 : x
  2. Step 2: Convert to fraction form
    73,667/156,946 = 156,946/x
  3. Step 3: Cross multiply
    73,667x = 156,946 × 156,946
  4. Step 4: Simplify right side
    73,667x = 24,632,046,916
  5. Step 5: Solve for x
    x = 24,632,046,916/73,667
  6. Step 6: Final answer
    x = 334,370.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.