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Finding the Third Proportional to 42,611 and 92,913

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Solution

The third proportional to 42,611 and 92,913 is: 202,596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,611 : 92,913 = 92,913 : x
  2. Step 2: Convert to fraction form
    42,611/92,913 = 92,913/x
  3. Step 3: Cross multiply
    42,611x = 92,913 × 92,913
  4. Step 4: Simplify right side
    42,611x = 8,632,825,569
  5. Step 5: Solve for x
    x = 8,632,825,569/42,611
  6. Step 6: Final answer
    x = 202,596.17

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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.