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Finding the Third Proportional to 35,195 and 75,892

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Solution

The third proportional to 35,195 and 75,892 is: 163,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,195 : 75,892 = 75,892 : x
  2. Step 2: Convert to fraction form
    35,195/75,892 = 75,892/x
  3. Step 3: Cross multiply
    35,195x = 75,892 × 75,892
  4. Step 4: Simplify right side
    35,195x = 5,759,595,664
  5. Step 5: Solve for x
    x = 5,759,595,664/35,195
  6. Step 6: Final answer
    x = 163,648.12

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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.