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Finding the Third Proportional to 67,904 and 160,546

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Solution

The third proportional to 67,904 and 160,546 is: 379,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,904 : 160,546 = 160,546 : x
  2. Step 2: Convert to fraction form
    67,904/160,546 = 160,546/x
  3. Step 3: Cross multiply
    67,904x = 160,546 × 160,546
  4. Step 4: Simplify right side
    67,904x = 25,775,018,116
  5. Step 5: Solve for x
    x = 25,775,018,116/67,904
  6. Step 6: Final answer
    x = 379,580.26

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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.