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Finding the Third Proportional to 35,179 and 75,899

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Solution

The third proportional to 35,179 and 75,899 is: 163,752.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,179 : 75,899 = 75,899 : x
  2. Step 2: Convert to fraction form
    35,179/75,899 = 75,899/x
  3. Step 3: Cross multiply
    35,179x = 75,899 × 75,899
  4. Step 4: Simplify right side
    35,179x = 5,760,658,201
  5. Step 5: Solve for x
    x = 5,760,658,201/35,179
  6. Step 6: Final answer
    x = 163,752.76

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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.