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Finding the Third Proportional to 110,977 and 173,902

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Solution

The third proportional to 110,977 and 173,902 is: 272,506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,977 : 173,902 = 173,902 : x
  2. Step 2: Convert to fraction form
    110,977/173,902 = 173,902/x
  3. Step 3: Cross multiply
    110,977x = 173,902 × 173,902
  4. Step 4: Simplify right side
    110,977x = 30,241,905,604
  5. Step 5: Solve for x
    x = 30,241,905,604/110,977
  6. Step 6: Final answer
    x = 272,506.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.