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Finding the Third Proportional to 72,022 and 96,958

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Solution

The third proportional to 72,022 and 96,958 is: 130,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,022 : 96,958 = 96,958 : x
  2. Step 2: Convert to fraction form
    72,022/96,958 = 96,958/x
  3. Step 3: Cross multiply
    72,022x = 96,958 × 96,958
  4. Step 4: Simplify right side
    72,022x = 9,400,853,764
  5. Step 5: Solve for x
    x = 9,400,853,764/72,022
  6. Step 6: Final answer
    x = 130,527.53

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.