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Finding the Third Proportional to 110,884.50 and 169,653

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Solution

The third proportional to 110,884.50 and 169,653 is: 259,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,884.50 : 169,653 = 169,653 : x
  2. Step 2: Convert to fraction form
    110,884.50/169,653 = 169,653/x
  3. Step 3: Cross multiply
    110,884.50x = 169,653 × 169,653
  4. Step 4: Simplify right side
    110,884.50x = 28,782,140,409
  5. Step 5: Solve for x
    x = 28,782,140,409/110,884.50
  6. Step 6: Final answer
    x = 259,568.65

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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.