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Finding the Third Proportional to 47,584 and 103,641

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Solution

The third proportional to 47,584 and 103,641 is: 225,736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,584 : 103,641 = 103,641 : x
  2. Step 2: Convert to fraction form
    47,584/103,641 = 103,641/x
  3. Step 3: Cross multiply
    47,584x = 103,641 × 103,641
  4. Step 4: Simplify right side
    47,584x = 10,741,456,881
  5. Step 5: Solve for x
    x = 10,741,456,881/47,584
  6. Step 6: Final answer
    x = 225,736.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.