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Finding the Third Proportional to 72,082 and 154,820

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Solution

The third proportional to 72,082 and 154,820 is: 332,527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,082 : 154,820 = 154,820 : x
  2. Step 2: Convert to fraction form
    72,082/154,820 = 154,820/x
  3. Step 3: Cross multiply
    72,082x = 154,820 × 154,820
  4. Step 4: Simplify right side
    72,082x = 23,969,232,400
  5. Step 5: Solve for x
    x = 23,969,232,400/72,082
  6. Step 6: Final answer
    x = 332,527.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.