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Finding the Third Proportional to 41,458 and 90,692

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Solution

The third proportional to 41,458 and 90,692 is: 198,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,458 : 90,692 = 90,692 : x
  2. Step 2: Convert to fraction form
    41,458/90,692 = 90,692/x
  3. Step 3: Cross multiply
    41,458x = 90,692 × 90,692
  4. Step 4: Simplify right side
    41,458x = 8,225,038,864
  5. Step 5: Solve for x
    x = 8,225,038,864/41,458
  6. Step 6: Final answer
    x = 198,394.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.