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Finding the Third Proportional to 89,284.50 and 135,078.50

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Solution

The third proportional to 89,284.50 and 135,078.50 is: 204,360.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,284.50 : 135,078.50 = 135,078.50 : x
  2. Step 2: Convert to fraction form
    89,284.50/135,078.50 = 135,078.50/x
  3. Step 3: Cross multiply
    89,284.50x = 135,078.50 × 135,078.50
  4. Step 4: Simplify right side
    89,284.50x = 18,246,201,162.25
  5. Step 5: Solve for x
    x = 18,246,201,162.25/89,284.50
  6. Step 6: Final answer
    x = 204,360.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.