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Finding the Third Proportional to 42,632 and 92,894

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Solution

The third proportional to 42,632 and 92,894 is: 202,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,632 : 92,894 = 92,894 : x
  2. Step 2: Convert to fraction form
    42,632/92,894 = 92,894/x
  3. Step 3: Cross multiply
    42,632x = 92,894 × 92,894
  4. Step 4: Simplify right side
    42,632x = 8,629,295,236
  5. Step 5: Solve for x
    x = 8,629,295,236/42,632
  6. Step 6: Final answer
    x = 202,413.57

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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.