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Finding the Third Proportional to 71,446 and 161,604

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Solution

The third proportional to 71,446 and 161,604 is: 365,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,446 : 161,604 = 161,604 : x
  2. Step 2: Convert to fraction form
    71,446/161,604 = 161,604/x
  3. Step 3: Cross multiply
    71,446x = 161,604 × 161,604
  4. Step 4: Simplify right side
    71,446x = 26,115,852,816
  5. Step 5: Solve for x
    x = 26,115,852,816/71,446
  6. Step 6: Final answer
    x = 365,532.75

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.