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Finding the Third Proportional to 96,742.13 and 139,344.75

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Solution

The third proportional to 96,742.13 and 139,344.75 is: 200,708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,742.13 : 139,344.75 = 139,344.75 : x
  2. Step 2: Convert to fraction form
    96,742.13/139,344.75 = 139,344.75/x
  3. Step 3: Cross multiply
    96,742.13x = 139,344.75 × 139,344.75
  4. Step 4: Simplify right side
    96,742.13x = 19,416,959,352.56
  5. Step 5: Solve for x
    x = 19,416,959,352.56/96,742.13
  6. Step 6: Final answer
    x = 200,708.42

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.