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Finding the Third Proportional to 73,667 and 160,827

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Solution

The third proportional to 73,667 and 160,827 is: 351,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,667 : 160,827 = 160,827 : x
  2. Step 2: Convert to fraction form
    73,667/160,827 = 160,827/x
  3. Step 3: Cross multiply
    73,667x = 160,827 × 160,827
  4. Step 4: Simplify right side
    73,667x = 25,865,323,929
  5. Step 5: Solve for x
    x = 25,865,323,929/73,667
  6. Step 6: Final answer
    x = 351,111.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.