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Finding the Third Proportional to 35,168 and 75,884

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Solution

The third proportional to 35,168 and 75,884 is: 163,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,168 : 75,884 = 75,884 : x
  2. Step 2: Convert to fraction form
    35,168/75,884 = 75,884/x
  3. Step 3: Cross multiply
    35,168x = 75,884 × 75,884
  4. Step 4: Simplify right side
    35,168x = 5,758,381,456
  5. Step 5: Solve for x
    x = 5,758,381,456/35,168
  6. Step 6: Final answer
    x = 163,739.24

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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.