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Finding the Third Proportional to 123,056.25 and 268,887.75

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Solution

The third proportional to 123,056.25 and 268,887.75 is: 587,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,056.25 : 268,887.75 = 268,887.75 : x
  2. Step 2: Convert to fraction form
    123,056.25/268,887.75 = 268,887.75/x
  3. Step 3: Cross multiply
    123,056.25x = 268,887.75 × 268,887.75
  4. Step 4: Simplify right side
    123,056.25x = 72,300,622,100.06
  5. Step 5: Solve for x
    x = 72,300,622,100.06/123,056.25
  6. Step 6: Final answer
    x = 587,541.24

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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.