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Finding the Third Proportional to 48,390 and 104,196

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Solution

The third proportional to 48,390 and 104,196 is: 224,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,390 : 104,196 = 104,196 : x
  2. Step 2: Convert to fraction form
    48,390/104,196 = 104,196/x
  3. Step 3: Cross multiply
    48,390x = 104,196 × 104,196
  4. Step 4: Simplify right side
    48,390x = 10,856,806,416
  5. Step 5: Solve for x
    x = 10,856,806,416/48,390
  6. Step 6: Final answer
    x = 224,360.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.