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Finding the Third Proportional to 89,985.94 and 135,662.34

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Solution

The third proportional to 89,985.94 and 135,662.34 is: 204,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,985.94 : 135,662.34 = 135,662.34 : x
  2. Step 2: Convert to fraction form
    89,985.94/135,662.34 = 135,662.34/x
  3. Step 3: Cross multiply
    89,985.94x = 135,662.34 × 135,662.34
  4. Step 4: Simplify right side
    89,985.94x = 18,404,271,511.74
  5. Step 5: Solve for x
    x = 18,404,271,511.74/89,985.94
  6. Step 6: Final answer
    x = 204,523.86

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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.