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Finding the Third Proportional to 34,968 and 80,544

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Solution

The third proportional to 34,968 and 80,544 is: 185,522.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,968 : 80,544 = 80,544 : x
  2. Step 2: Convert to fraction form
    34,968/80,544 = 80,544/x
  3. Step 3: Cross multiply
    34,968x = 80,544 × 80,544
  4. Step 4: Simplify right side
    34,968x = 6,487,335,936
  5. Step 5: Solve for x
    x = 6,487,335,936/34,968
  6. Step 6: Final answer
    x = 185,522.08

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.