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Finding the Third Proportional to 90,969.75 and 139,632.19

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Solution

The third proportional to 90,969.75 and 139,632.19 is: 214,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,969.75 : 139,632.19 = 139,632.19 : x
  2. Step 2: Convert to fraction form
    90,969.75/139,632.19 = 139,632.19/x
  3. Step 3: Cross multiply
    90,969.75x = 139,632.19 × 139,632.19
  4. Step 4: Simplify right side
    90,969.75x = 19,497,147,786.04
  5. Step 5: Solve for x
    x = 19,497,147,786.04/90,969.75
  6. Step 6: Final answer
    x = 214,325.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.