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Finding the Third Proportional to 133,809.75 and 195,690.75

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Solution

The third proportional to 133,809.75 and 195,690.75 is: 286,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,809.75 : 195,690.75 = 195,690.75 : x
  2. Step 2: Convert to fraction form
    133,809.75/195,690.75 = 195,690.75/x
  3. Step 3: Cross multiply
    133,809.75x = 195,690.75 × 195,690.75
  4. Step 4: Simplify right side
    133,809.75x = 38,294,869,635.56
  5. Step 5: Solve for x
    x = 38,294,869,635.56/133,809.75
  6. Step 6: Final answer
    x = 286,188.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.