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Finding the Third Proportional to 43,689 and 93,606

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Solution

The third proportional to 43,689 and 93,606 is: 200,555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,689 : 93,606 = 93,606 : x
  2. Step 2: Convert to fraction form
    43,689/93,606 = 93,606/x
  3. Step 3: Cross multiply
    43,689x = 93,606 × 93,606
  4. Step 4: Simplify right side
    43,689x = 8,762,083,236
  5. Step 5: Solve for x
    x = 8,762,083,236/43,689
  6. Step 6: Final answer
    x = 200,555.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.