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Finding the Third Proportional to 47,115 and 101,054.25

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Solution

The third proportional to 47,115 and 101,054.25 is: 216,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115 : 101,054.25 = 101,054.25 : x
  2. Step 2: Convert to fraction form
    47,115/101,054.25 = 101,054.25/x
  3. Step 3: Cross multiply
    47,115x = 101,054.25 × 101,054.25
  4. Step 4: Simplify right side
    47,115x = 10,211,961,443.06
  5. Step 5: Solve for x
    x = 10,211,961,443.06/47,115
  6. Step 6: Final answer
    x = 216,745.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.