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Finding the Third Proportional to 35,170 and 75,889

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Solution

The third proportional to 35,170 and 75,889 is: 163,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,170 : 75,889 = 75,889 : x
  2. Step 2: Convert to fraction form
    35,170/75,889 = 75,889/x
  3. Step 3: Cross multiply
    35,170x = 75,889 × 75,889
  4. Step 4: Simplify right side
    35,170x = 5,759,140,321
  5. Step 5: Solve for x
    x = 5,759,140,321/35,170
  6. Step 6: Final answer
    x = 163,751.50

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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.