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Finding the Third Proportional to 51,874 and 75,971

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Solution

The third proportional to 51,874 and 75,971 is: 111,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,874 : 75,971 = 75,971 : x
  2. Step 2: Convert to fraction form
    51,874/75,971 = 75,971/x
  3. Step 3: Cross multiply
    51,874x = 75,971 × 75,971
  4. Step 4: Simplify right side
    51,874x = 5,771,592,841
  5. Step 5: Solve for x
    x = 5,771,592,841/51,874
  6. Step 6: Final answer
    x = 111,261.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.