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Finding the Third Proportional to 35,454 and 75,601

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Solution

The third proportional to 35,454 and 75,601 is: 161,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,454 : 75,601 = 75,601 : x
  2. Step 2: Convert to fraction form
    35,454/75,601 = 75,601/x
  3. Step 3: Cross multiply
    35,454x = 75,601 × 75,601
  4. Step 4: Simplify right side
    35,454x = 5,715,511,201
  5. Step 5: Solve for x
    x = 5,715,511,201/35,454
  6. Step 6: Final answer
    x = 161,209.21

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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.