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Finding the Third Proportional to 42,630 and 92,891

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Solution

The third proportional to 42,630 and 92,891 is: 202,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,630 : 92,891 = 92,891 : x
  2. Step 2: Convert to fraction form
    42,630/92,891 = 92,891/x
  3. Step 3: Cross multiply
    42,630x = 92,891 × 92,891
  4. Step 4: Simplify right side
    42,630x = 8,628,737,881
  5. Step 5: Solve for x
    x = 8,628,737,881/42,630
  6. Step 6: Final answer
    x = 202,409.99

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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.