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Finding the Third Proportional to 54,235 and 116,804.50

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Solution

The third proportional to 54,235 and 116,804.50 is: 251,558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,235 : 116,804.50 = 116,804.50 : x
  2. Step 2: Convert to fraction form
    54,235/116,804.50 = 116,804.50/x
  3. Step 3: Cross multiply
    54,235x = 116,804.50 × 116,804.50
  4. Step 4: Simplify right side
    54,235x = 13,643,291,220.25
  5. Step 5: Solve for x
    x = 13,643,291,220.25/54,235
  6. Step 6: Final answer
    x = 251,558.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.