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Finding the Third Proportional to 45,544 and 98,968

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Solution

The third proportional to 45,544 and 98,968 is: 215,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,544 : 98,968 = 98,968 : x
  2. Step 2: Convert to fraction form
    45,544/98,968 = 98,968/x
  3. Step 3: Cross multiply
    45,544x = 98,968 × 98,968
  4. Step 4: Simplify right side
    45,544x = 9,794,665,024
  5. Step 5: Solve for x
    x = 9,794,665,024/45,544
  6. Step 6: Final answer
    x = 215,059.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.