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Finding the Third Proportional to 137,199.75 and 195,021

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Solution

The third proportional to 137,199.75 and 195,021 is: 277,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,199.75 : 195,021 = 195,021 : x
  2. Step 2: Convert to fraction form
    137,199.75/195,021 = 195,021/x
  3. Step 3: Cross multiply
    137,199.75x = 195,021 × 195,021
  4. Step 4: Simplify right side
    137,199.75x = 38,033,190,441
  5. Step 5: Solve for x
    x = 38,033,190,441/137,199.75
  6. Step 6: Final answer
    x = 277,210.35

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.