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Finding the Third Proportional to 107,022 and 158,989.50

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Solution

The third proportional to 107,022 and 158,989.50 is: 236,191.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,022 : 158,989.50 = 158,989.50 : x
  2. Step 2: Convert to fraction form
    107,022/158,989.50 = 158,989.50/x
  3. Step 3: Cross multiply
    107,022x = 158,989.50 × 158,989.50
  4. Step 4: Simplify right side
    107,022x = 25,277,661,110.25
  5. Step 5: Solve for x
    x = 25,277,661,110.25/107,022
  6. Step 6: Final answer
    x = 236,191.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.