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Finding the Third Proportional to 65,280.94 and 142,863.75

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Solution

The third proportional to 65,280.94 and 142,863.75 is: 312,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,280.94 : 142,863.75 = 142,863.75 : x
  2. Step 2: Convert to fraction form
    65,280.94/142,863.75 = 142,863.75/x
  3. Step 3: Cross multiply
    65,280.94x = 142,863.75 × 142,863.75
  4. Step 4: Simplify right side
    65,280.94x = 20,410,051,064.06
  5. Step 5: Solve for x
    x = 20,410,051,064.06/65,280.94
  6. Step 6: Final answer
    x = 312,649.48

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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.