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Finding the Third Proportional to 47,904 and 100,770

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Solution

The third proportional to 47,904 and 100,770 is: 211,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,904 : 100,770 = 100,770 : x
  2. Step 2: Convert to fraction form
    47,904/100,770 = 100,770/x
  3. Step 3: Cross multiply
    47,904x = 100,770 × 100,770
  4. Step 4: Simplify right side
    47,904x = 10,154,592,900
  5. Step 5: Solve for x
    x = 10,154,592,900/47,904
  6. Step 6: Final answer
    x = 211,977.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.