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Finding the Third Proportional to 48,278 and 100,971

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Solution

The third proportional to 48,278 and 100,971 is: 211,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,278 : 100,971 = 100,971 : x
  2. Step 2: Convert to fraction form
    48,278/100,971 = 100,971/x
  3. Step 3: Cross multiply
    48,278x = 100,971 × 100,971
  4. Step 4: Simplify right side
    48,278x = 10,195,142,841
  5. Step 5: Solve for x
    x = 10,195,142,841/48,278
  6. Step 6: Final answer
    x = 211,175.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.