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Finding the Third Proportional to 47,842 and 104,804

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Solution

The third proportional to 47,842 and 104,804 is: 229,586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,842 : 104,804 = 104,804 : x
  2. Step 2: Convert to fraction form
    47,842/104,804 = 104,804/x
  3. Step 3: Cross multiply
    47,842x = 104,804 × 104,804
  4. Step 4: Simplify right side
    47,842x = 10,983,878,416
  5. Step 5: Solve for x
    x = 10,983,878,416/47,842
  6. Step 6: Final answer
    x = 229,586.52

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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.