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Finding the Third Proportional to 72,389.25 and 160,269.75

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Solution

The third proportional to 72,389.25 and 160,269.75 is: 354,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,389.25 : 160,269.75 = 160,269.75 : x
  2. Step 2: Convert to fraction form
    72,389.25/160,269.75 = 160,269.75/x
  3. Step 3: Cross multiply
    72,389.25x = 160,269.75 × 160,269.75
  4. Step 4: Simplify right side
    72,389.25x = 25,686,392,765.06
  5. Step 5: Solve for x
    x = 25,686,392,765.06/72,389.25
  6. Step 6: Final answer
    x = 354,837.12

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.