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Finding the Third Proportional to 45,284 and 68,678

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Solution

The third proportional to 45,284 and 68,678 is: 104,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,284 : 68,678 = 68,678 : x
  2. Step 2: Convert to fraction form
    45,284/68,678 = 68,678/x
  3. Step 3: Cross multiply
    45,284x = 68,678 × 68,678
  4. Step 4: Simplify right side
    45,284x = 4,716,667,684
  5. Step 5: Solve for x
    x = 4,716,667,684/45,284
  6. Step 6: Final answer
    x = 104,157.49

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