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Finding the Third Proportional to 133,095 and 205,589

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Solution

The third proportional to 133,095 and 205,589 is: 317,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,095 : 205,589 = 205,589 : x
  2. Step 2: Convert to fraction form
    133,095/205,589 = 205,589/x
  3. Step 3: Cross multiply
    133,095x = 205,589 × 205,589
  4. Step 4: Simplify right side
    133,095x = 42,266,836,921
  5. Step 5: Solve for x
    x = 42,266,836,921/133,095
  6. Step 6: Final answer
    x = 317,568.93

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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.