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Finding the Third Proportional to 47,196 and 104,881

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Solution

The third proportional to 47,196 and 104,881 is: 233,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,196 : 104,881 = 104,881 : x
  2. Step 2: Convert to fraction form
    47,196/104,881 = 104,881/x
  3. Step 3: Cross multiply
    47,196x = 104,881 × 104,881
  4. Step 4: Simplify right side
    47,196x = 11,000,024,161
  5. Step 5: Solve for x
    x = 11,000,024,161/47,196
  6. Step 6: Final answer
    x = 233,071.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.