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Finding the Third Proportional to 47,646 and 104,178

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Solution

The third proportional to 47,646 and 104,178 is: 227,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,646 : 104,178 = 104,178 : x
  2. Step 2: Convert to fraction form
    47,646/104,178 = 104,178/x
  3. Step 3: Cross multiply
    47,646x = 104,178 × 104,178
  4. Step 4: Simplify right side
    47,646x = 10,853,055,684
  5. Step 5: Solve for x
    x = 10,853,055,684/47,646
  6. Step 6: Final answer
    x = 227,785.24

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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.