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Finding the Third Proportional to 72,931 and 150,917

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Solution

The third proportional to 72,931 and 150,917 is: 312,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,931 : 150,917 = 150,917 : x
  2. Step 2: Convert to fraction form
    72,931/150,917 = 150,917/x
  3. Step 3: Cross multiply
    72,931x = 150,917 × 150,917
  4. Step 4: Simplify right side
    72,931x = 22,775,940,889
  5. Step 5: Solve for x
    x = 22,775,940,889/72,931
  6. Step 6: Final answer
    x = 312,294.37

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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.