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Finding the Third Proportional to 133,084 and 195,736

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Solution

The third proportional to 133,084 and 195,736 is: 287,882.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,084 : 195,736 = 195,736 : x
  2. Step 2: Convert to fraction form
    133,084/195,736 = 195,736/x
  3. Step 3: Cross multiply
    133,084x = 195,736 × 195,736
  4. Step 4: Simplify right side
    133,084x = 38,312,581,696
  5. Step 5: Solve for x
    x = 38,312,581,696/133,084
  6. Step 6: Final answer
    x = 287,882.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.