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Finding the Third Proportional to 103,674 and 160,093

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Solution

The third proportional to 103,674 and 160,093 is: 247,215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,674 : 160,093 = 160,093 : x
  2. Step 2: Convert to fraction form
    103,674/160,093 = 160,093/x
  3. Step 3: Cross multiply
    103,674x = 160,093 × 160,093
  4. Step 4: Simplify right side
    103,674x = 25,629,768,649
  5. Step 5: Solve for x
    x = 25,629,768,649/103,674
  6. Step 6: Final answer
    x = 247,215.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.