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Finding the Third Proportional to 110,354 and 169,083

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Solution

The third proportional to 110,354 and 169,083 is: 259,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,354 : 169,083 = 169,083 : x
  2. Step 2: Convert to fraction form
    110,354/169,083 = 169,083/x
  3. Step 3: Cross multiply
    110,354x = 169,083 × 169,083
  4. Step 4: Simplify right side
    110,354x = 28,589,060,889
  5. Step 5: Solve for x
    x = 28,589,060,889/110,354
  6. Step 6: Final answer
    x = 259,066.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.