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Finding the Third Proportional to 59,452 and 89,682

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Solution

The third proportional to 59,452 and 89,682 is: 135,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,452 : 89,682 = 89,682 : x
  2. Step 2: Convert to fraction form
    59,452/89,682 = 89,682/x
  3. Step 3: Cross multiply
    59,452x = 89,682 × 89,682
  4. Step 4: Simplify right side
    59,452x = 8,042,861,124
  5. Step 5: Solve for x
    x = 8,042,861,124/59,452
  6. Step 6: Final answer
    x = 135,283.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.