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Finding the Third Proportional to 59,611 and 83,551

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Solution

The third proportional to 59,611 and 83,551 is: 117,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,611 : 83,551 = 83,551 : x
  2. Step 2: Convert to fraction form
    59,611/83,551 = 83,551/x
  3. Step 3: Cross multiply
    59,611x = 83,551 × 83,551
  4. Step 4: Simplify right side
    59,611x = 6,980,769,601
  5. Step 5: Solve for x
    x = 6,980,769,601/59,611
  6. Step 6: Final answer
    x = 117,105.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.