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Finding the Third Proportional to 72,992 and 160,228

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Solution

The third proportional to 72,992 and 160,228 is: 351,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,992 : 160,228 = 160,228 : x
  2. Step 2: Convert to fraction form
    72,992/160,228 = 160,228/x
  3. Step 3: Cross multiply
    72,992x = 160,228 × 160,228
  4. Step 4: Simplify right side
    72,992x = 25,673,011,984
  5. Step 5: Solve for x
    x = 25,673,011,984/72,992
  6. Step 6: Final answer
    x = 351,723.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.