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Finding the Third Proportional to 47,328 and 104,258

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Solution

The third proportional to 47,328 and 104,258 is: 229,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,328 : 104,258 = 104,258 : x
  2. Step 2: Convert to fraction form
    47,328/104,258 = 104,258/x
  3. Step 3: Cross multiply
    47,328x = 104,258 × 104,258
  4. Step 4: Simplify right side
    47,328x = 10,869,730,564
  5. Step 5: Solve for x
    x = 10,869,730,564/47,328
  6. Step 6: Final answer
    x = 229,668.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.