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Finding the Third Proportional to 73,168 and 172,546

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Solution

The third proportional to 73,168 and 172,546 is: 406,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,168 : 172,546 = 172,546 : x
  2. Step 2: Convert to fraction form
    73,168/172,546 = 172,546/x
  3. Step 3: Cross multiply
    73,168x = 172,546 × 172,546
  4. Step 4: Simplify right side
    73,168x = 29,772,122,116
  5. Step 5: Solve for x
    x = 29,772,122,116/73,168
  6. Step 6: Final answer
    x = 406,900.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.