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Finding the Third Proportional to 75,881 and 110,905

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Solution

The third proportional to 75,881 and 110,905 is: 162,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,881 : 110,905 = 110,905 : x
  2. Step 2: Convert to fraction form
    75,881/110,905 = 110,905/x
  3. Step 3: Cross multiply
    75,881x = 110,905 × 110,905
  4. Step 4: Simplify right side
    75,881x = 12,299,919,025
  5. Step 5: Solve for x
    x = 12,299,919,025/75,881
  6. Step 6: Final answer
    x = 162,094.85

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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.