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Finding the Third Proportional to 75,922 and 110,956

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Solution

The third proportional to 75,922 and 110,956 is: 162,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,922 : 110,956 = 110,956 : x
  2. Step 2: Convert to fraction form
    75,922/110,956 = 110,956/x
  3. Step 3: Cross multiply
    75,922x = 110,956 × 110,956
  4. Step 4: Simplify right side
    75,922x = 12,311,233,936
  5. Step 5: Solve for x
    x = 12,311,233,936/75,922
  6. Step 6: Final answer
    x = 162,156.34

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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.