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Finding the Third Proportional to 47,841 and 104,752.50

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Solution

The third proportional to 47,841 and 104,752.50 is: 229,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,841 : 104,752.50 = 104,752.50 : x
  2. Step 2: Convert to fraction form
    47,841/104,752.50 = 104,752.50/x
  3. Step 3: Cross multiply
    47,841x = 104,752.50 × 104,752.50
  4. Step 4: Simplify right side
    47,841x = 10,973,086,256.25
  5. Step 5: Solve for x
    x = 10,973,086,256.25/47,841
  6. Step 6: Final answer
    x = 229,365.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.