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Finding the Third Proportional to 47,334 and 104,514

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Solution

The third proportional to 47,334 and 104,514 is: 230,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,334 : 104,514 = 104,514 : x
  2. Step 2: Convert to fraction form
    47,334/104,514 = 104,514/x
  3. Step 3: Cross multiply
    47,334x = 104,514 × 104,514
  4. Step 4: Simplify right side
    47,334x = 10,923,176,196
  5. Step 5: Solve for x
    x = 10,923,176,196/47,334
  6. Step 6: Final answer
    x = 230,768.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.