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Finding the Third Proportional to 133,083 and 199,625

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Solution

The third proportional to 133,083 and 199,625 is: 299,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,083 : 199,625 = 199,625 : x
  2. Step 2: Convert to fraction form
    133,083/199,625 = 199,625/x
  3. Step 3: Cross multiply
    133,083x = 199,625 × 199,625
  4. Step 4: Simplify right side
    133,083x = 39,850,140,625
  5. Step 5: Solve for x
    x = 39,850,140,625/133,083
  6. Step 6: Final answer
    x = 299,438.25

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Why These Related Problems?

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