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Finding the Third Proportional to 43,664 and 71,236

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Solution

The third proportional to 43,664 and 71,236 is: 116,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,664 : 71,236 = 71,236 : x
  2. Step 2: Convert to fraction form
    43,664/71,236 = 71,236/x
  3. Step 3: Cross multiply
    43,664x = 71,236 × 71,236
  4. Step 4: Simplify right side
    43,664x = 5,074,567,696
  5. Step 5: Solve for x
    x = 5,074,567,696/43,664
  6. Step 6: Final answer
    x = 116,218.57

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.