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Finding the Third Proportional to 45,671.63 and 68,321.25

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Solution

The third proportional to 45,671.63 and 68,321.25 is: 102,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,671.63 : 68,321.25 = 68,321.25 : x
  2. Step 2: Convert to fraction form
    45,671.63/68,321.25 = 68,321.25/x
  3. Step 3: Cross multiply
    45,671.63x = 68,321.25 × 68,321.25
  4. Step 4: Simplify right side
    45,671.63x = 4,667,793,201.56
  5. Step 5: Solve for x
    x = 4,667,793,201.56/45,671.63
  6. Step 6: Final answer
    x = 102,203.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.