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Finding the Third Proportional to 35,197 and 75,938

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Solution

The third proportional to 35,197 and 75,938 is: 163,837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,197 : 75,938 = 75,938 : x
  2. Step 2: Convert to fraction form
    35,197/75,938 = 75,938/x
  3. Step 3: Cross multiply
    35,197x = 75,938 × 75,938
  4. Step 4: Simplify right side
    35,197x = 5,766,579,844
  5. Step 5: Solve for x
    x = 5,766,579,844/35,197
  6. Step 6: Final answer
    x = 163,837.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.