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Finding the Third Proportional to 35,270 and 75,325

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Solution

The third proportional to 35,270 and 75,325 is: 160,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,270 : 75,325 = 75,325 : x
  2. Step 2: Convert to fraction form
    35,270/75,325 = 75,325/x
  3. Step 3: Cross multiply
    35,270x = 75,325 × 75,325
  4. Step 4: Simplify right side
    35,270x = 5,673,855,625
  5. Step 5: Solve for x
    x = 5,673,855,625/35,270
  6. Step 6: Final answer
    x = 160,869.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.