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Finding the Third Proportional to 72,879 and 159,258

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Solution

The third proportional to 72,879 and 159,258 is: 348,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,879 : 159,258 = 159,258 : x
  2. Step 2: Convert to fraction form
    72,879/159,258 = 159,258/x
  3. Step 3: Cross multiply
    72,879x = 159,258 × 159,258
  4. Step 4: Simplify right side
    72,879x = 25,363,110,564
  5. Step 5: Solve for x
    x = 25,363,110,564/72,879
  6. Step 6: Final answer
    x = 348,016.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.