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Finding the Third Proportional to 133,683.75 and 194,505.75

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Solution

The third proportional to 133,683.75 and 194,505.75 is: 282,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,683.75 : 194,505.75 = 194,505.75 : x
  2. Step 2: Convert to fraction form
    133,683.75/194,505.75 = 194,505.75/x
  3. Step 3: Cross multiply
    133,683.75x = 194,505.75 × 194,505.75
  4. Step 4: Simplify right side
    133,683.75x = 37,832,486,783.06
  5. Step 5: Solve for x
    x = 37,832,486,783.06/133,683.75
  6. Step 6: Final answer
    x = 282,999.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.