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Finding the Third Proportional to 72,334 and 161,268

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Solution

The third proportional to 72,334 and 161,268 is: 359,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,334 : 161,268 = 161,268 : x
  2. Step 2: Convert to fraction form
    72,334/161,268 = 161,268/x
  3. Step 3: Cross multiply
    72,334x = 161,268 × 161,268
  4. Step 4: Simplify right side
    72,334x = 26,007,367,824
  5. Step 5: Solve for x
    x = 26,007,367,824/72,334
  6. Step 6: Final answer
    x = 359,545.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.