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Finding the Third Proportional to 51,972 and 75,852

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Solution

The third proportional to 51,972 and 75,852 is: 110,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,972 : 75,852 = 75,852 : x
  2. Step 2: Convert to fraction form
    51,972/75,852 = 75,852/x
  3. Step 3: Cross multiply
    51,972x = 75,852 × 75,852
  4. Step 4: Simplify right side
    51,972x = 5,753,525,904
  5. Step 5: Solve for x
    x = 5,753,525,904/51,972
  6. Step 6: Final answer
    x = 110,704.34

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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.