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Finding the Third Proportional to 72,868 and 171,946

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Solution

The third proportional to 72,868 and 171,946 is: 405,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,868 : 171,946 = 171,946 : x
  2. Step 2: Convert to fraction form
    72,868/171,946 = 171,946/x
  3. Step 3: Cross multiply
    72,868x = 171,946 × 171,946
  4. Step 4: Simplify right side
    72,868x = 29,565,426,916
  5. Step 5: Solve for x
    x = 29,565,426,916/72,868
  6. Step 6: Final answer
    x = 405,739.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.