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Finding the Third Proportional to 47,850 and 104,784

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Solution

The third proportional to 47,850 and 104,784 is: 229,460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,850 : 104,784 = 104,784 : x
  2. Step 2: Convert to fraction form
    47,850/104,784 = 104,784/x
  3. Step 3: Cross multiply
    47,850x = 104,784 × 104,784
  4. Step 4: Simplify right side
    47,850x = 10,979,686,656
  5. Step 5: Solve for x
    x = 10,979,686,656/47,850
  6. Step 6: Final answer
    x = 229,460.54

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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.