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Finding the Third Proportional to 39,162 and 59,106

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Solution

The third proportional to 39,162 and 59,106 is: 89,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,162 : 59,106 = 59,106 : x
  2. Step 2: Convert to fraction form
    39,162/59,106 = 59,106/x
  3. Step 3: Cross multiply
    39,162x = 59,106 × 59,106
  4. Step 4: Simplify right side
    39,162x = 3,493,519,236
  5. Step 5: Solve for x
    x = 3,493,519,236/39,162
  6. Step 6: Final answer
    x = 89,206.86

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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.