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Finding the Third Proportional to 72,956 and 150,967

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Solution

The third proportional to 72,956 and 150,967 is: 312,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,956 : 150,967 = 150,967 : x
  2. Step 2: Convert to fraction form
    72,956/150,967 = 150,967/x
  3. Step 3: Cross multiply
    72,956x = 150,967 × 150,967
  4. Step 4: Simplify right side
    72,956x = 22,791,035,089
  5. Step 5: Solve for x
    x = 22,791,035,089/72,956
  6. Step 6: Final answer
    x = 312,394.25

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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.