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Finding the Third Proportional to 41,994 and 91,688

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Solution

The third proportional to 41,994 and 91,688 is: 200,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,994 : 91,688 = 91,688 : x
  2. Step 2: Convert to fraction form
    41,994/91,688 = 91,688/x
  3. Step 3: Cross multiply
    41,994x = 91,688 × 91,688
  4. Step 4: Simplify right side
    41,994x = 8,406,689,344
  5. Step 5: Solve for x
    x = 8,406,689,344/41,994
  6. Step 6: Final answer
    x = 200,187.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.