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Finding the Third Proportional to 111,039 and 169,323

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Solution

The third proportional to 111,039 and 169,323 is: 258,200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,039 : 169,323 = 169,323 : x
  2. Step 2: Convert to fraction form
    111,039/169,323 = 169,323/x
  3. Step 3: Cross multiply
    111,039x = 169,323 × 169,323
  4. Step 4: Simplify right side
    111,039x = 28,670,278,329
  5. Step 5: Solve for x
    x = 28,670,278,329/111,039
  6. Step 6: Final answer
    x = 258,200.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.