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Finding the Third Proportional to 38,201 and 82,045

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Solution

The third proportional to 38,201 and 82,045 is: 176,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,201 : 82,045 = 82,045 : x
  2. Step 2: Convert to fraction form
    38,201/82,045 = 82,045/x
  3. Step 3: Cross multiply
    38,201x = 82,045 × 82,045
  4. Step 4: Simplify right side
    38,201x = 6,731,382,025
  5. Step 5: Solve for x
    x = 6,731,382,025/38,201
  6. Step 6: Final answer
    x = 176,209.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.