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Finding the Third Proportional to 65,324.25 and 143,097.75

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Solution

The third proportional to 65,324.25 and 143,097.75 is: 313,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,324.25 : 143,097.75 = 143,097.75 : x
  2. Step 2: Convert to fraction form
    65,324.25/143,097.75 = 143,097.75/x
  3. Step 3: Cross multiply
    65,324.25x = 143,097.75 × 143,097.75
  4. Step 4: Simplify right side
    65,324.25x = 20,476,966,055.06
  5. Step 5: Solve for x
    x = 20,476,966,055.06/65,324.25
  6. Step 6: Final answer
    x = 313,466.53

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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.