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Finding the Third Proportional to 72,880 and 151,976

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Solution

The third proportional to 72,880 and 151,976 is: 316,914.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,880 : 151,976 = 151,976 : x
  2. Step 2: Convert to fraction form
    72,880/151,976 = 151,976/x
  3. Step 3: Cross multiply
    72,880x = 151,976 × 151,976
  4. Step 4: Simplify right side
    72,880x = 23,096,704,576
  5. Step 5: Solve for x
    x = 23,096,704,576/72,880
  6. Step 6: Final answer
    x = 316,914.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.