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Finding the Third Proportional to 35,196 and 75,893

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Solution

The third proportional to 35,196 and 75,893 is: 163,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,196 : 75,893 = 75,893 : x
  2. Step 2: Convert to fraction form
    35,196/75,893 = 75,893/x
  3. Step 3: Cross multiply
    35,196x = 75,893 × 75,893
  4. Step 4: Simplify right side
    35,196x = 5,759,747,449
  5. Step 5: Solve for x
    x = 5,759,747,449/35,196
  6. Step 6: Final answer
    x = 163,647.79

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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.