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Finding the Third Proportional to 73,168 and 159,728

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Solution

The third proportional to 73,168 and 159,728 is: 348,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,168 : 159,728 = 159,728 : x
  2. Step 2: Convert to fraction form
    73,168/159,728 = 159,728/x
  3. Step 3: Cross multiply
    73,168x = 159,728 × 159,728
  4. Step 4: Simplify right side
    73,168x = 25,513,033,984
  5. Step 5: Solve for x
    x = 25,513,033,984/73,168
  6. Step 6: Final answer
    x = 348,691.15

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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.