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Finding the Third Proportional to 72,326 and 161,252

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Solution

The third proportional to 72,326 and 161,252 is: 359,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,326 : 161,252 = 161,252 : x
  2. Step 2: Convert to fraction form
    72,326/161,252 = 161,252/x
  3. Step 3: Cross multiply
    72,326x = 161,252 × 161,252
  4. Step 4: Simplify right side
    72,326x = 26,002,207,504
  5. Step 5: Solve for x
    x = 26,002,207,504/72,326
  6. Step 6: Final answer
    x = 359,513.97

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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.