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Finding the Third Proportional to 127,162.50 and 196,590

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Solution

The third proportional to 127,162.50 and 196,590 is: 303,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,162.50 : 196,590 = 196,590 : x
  2. Step 2: Convert to fraction form
    127,162.50/196,590 = 196,590/x
  3. Step 3: Cross multiply
    127,162.50x = 196,590 × 196,590
  4. Step 4: Simplify right side
    127,162.50x = 38,647,628,100
  5. Step 5: Solve for x
    x = 38,647,628,100/127,162.50
  6. Step 6: Final answer
    x = 303,923.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.