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Finding the Third Proportional to 65,268.28 and 143,043.47

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Solution

The third proportional to 65,268.28 and 143,043.47 is: 313,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,268.28 : 143,043.47 = 143,043.47 : x
  2. Step 2: Convert to fraction form
    65,268.28/143,043.47 = 143,043.47/x
  3. Step 3: Cross multiply
    65,268.28x = 143,043.47 × 143,043.47
  4. Step 4: Simplify right side
    65,268.28x = 20,461,433,952.03
  5. Step 5: Solve for x
    x = 20,461,433,952.03/65,268.28
  6. Step 6: Final answer
    x = 313,497.36

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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.