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Finding the Third Proportional to 72,497 and 161,842

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Solution

The third proportional to 72,497 and 161,842 is: 361,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,497 : 161,842 = 161,842 : x
  2. Step 2: Convert to fraction form
    72,497/161,842 = 161,842/x
  3. Step 3: Cross multiply
    72,497x = 161,842 × 161,842
  4. Step 4: Simplify right side
    72,497x = 26,192,832,964
  5. Step 5: Solve for x
    x = 26,192,832,964/72,497
  6. Step 6: Final answer
    x = 361,295.40

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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.