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Finding the Third Proportional to 89,985 and 193,794

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Solution

The third proportional to 89,985 and 193,794 is: 417,359.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,985 : 193,794 = 193,794 : x
  2. Step 2: Convert to fraction form
    89,985/193,794 = 193,794/x
  3. Step 3: Cross multiply
    89,985x = 193,794 × 193,794
  4. Step 4: Simplify right side
    89,985x = 37,556,114,436
  5. Step 5: Solve for x
    x = 37,556,114,436/89,985
  6. Step 6: Final answer
    x = 417,359.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.