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Finding the Third Proportional to 73,359 and 160,974

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Solution

The third proportional to 73,359 and 160,974 is: 353,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,359 : 160,974 = 160,974 : x
  2. Step 2: Convert to fraction form
    73,359/160,974 = 160,974/x
  3. Step 3: Cross multiply
    73,359x = 160,974 × 160,974
  4. Step 4: Simplify right side
    73,359x = 25,912,628,676
  5. Step 5: Solve for x
    x = 25,912,628,676/73,359
  6. Step 6: Final answer
    x = 353,230.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.