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Finding the Third Proportional to 35,198 and 74,968

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Solution

The third proportional to 35,198 and 74,968 is: 159,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,198 : 74,968 = 74,968 : x
  2. Step 2: Convert to fraction form
    35,198/74,968 = 74,968/x
  3. Step 3: Cross multiply
    35,198x = 74,968 × 74,968
  4. Step 4: Simplify right side
    35,198x = 5,620,201,024
  5. Step 5: Solve for x
    x = 5,620,201,024/35,198
  6. Step 6: Final answer
    x = 159,673.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.