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Finding the Third Proportional to 38,742 and 82,101

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Solution

The third proportional to 38,742 and 82,101 is: 173,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,742 : 82,101 = 82,101 : x
  2. Step 2: Convert to fraction form
    38,742/82,101 = 82,101/x
  3. Step 3: Cross multiply
    38,742x = 82,101 × 82,101
  4. Step 4: Simplify right side
    38,742x = 6,740,574,201
  5. Step 5: Solve for x
    x = 6,740,574,201/38,742
  6. Step 6: Final answer
    x = 173,986.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.