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Finding the Third Proportional to 133,083 and 205,571

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Solution

The third proportional to 133,083 and 205,571 is: 317,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,083 : 205,571 = 205,571 : x
  2. Step 2: Convert to fraction form
    133,083/205,571 = 205,571/x
  3. Step 3: Cross multiply
    133,083x = 205,571 × 205,571
  4. Step 4: Simplify right side
    133,083x = 42,259,436,041
  5. Step 5: Solve for x
    x = 42,259,436,041/133,083
  6. Step 6: Final answer
    x = 317,541.96

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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.