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Finding the Third Proportional to 121,406.25 and 247,629.75

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Solution

The third proportional to 121,406.25 and 247,629.75 is: 505,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,406.25 : 247,629.75 = 247,629.75 : x
  2. Step 2: Convert to fraction form
    121,406.25/247,629.75 = 247,629.75/x
  3. Step 3: Cross multiply
    121,406.25x = 247,629.75 × 247,629.75
  4. Step 4: Simplify right side
    121,406.25x = 61,320,493,085.06
  5. Step 5: Solve for x
    x = 61,320,493,085.06/121,406.25
  6. Step 6: Final answer
    x = 505,085.14

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.