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Finding the Third Proportional to 72,949 and 150,955

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Solution

The third proportional to 72,949 and 150,955 is: 312,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,949 : 150,955 = 150,955 : x
  2. Step 2: Convert to fraction form
    72,949/150,955 = 150,955/x
  3. Step 3: Cross multiply
    72,949x = 150,955 × 150,955
  4. Step 4: Simplify right side
    72,949x = 22,787,412,025
  5. Step 5: Solve for x
    x = 22,787,412,025/72,949
  6. Step 6: Final answer
    x = 312,374.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.