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Finding the Third Proportional to 44,619 and 92,935

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Solution

The third proportional to 44,619 and 92,935 is: 193,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,619 : 92,935 = 92,935 : x
  2. Step 2: Convert to fraction form
    44,619/92,935 = 92,935/x
  3. Step 3: Cross multiply
    44,619x = 92,935 × 92,935
  4. Step 4: Simplify right side
    44,619x = 8,636,914,225
  5. Step 5: Solve for x
    x = 8,636,914,225/44,619
  6. Step 6: Final answer
    x = 193,570.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.