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Finding the Third Proportional to 38,566 and 78,205

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Solution

The third proportional to 38,566 and 78,205 is: 158,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,566 : 78,205 = 78,205 : x
  2. Step 2: Convert to fraction form
    38,566/78,205 = 78,205/x
  3. Step 3: Cross multiply
    38,566x = 78,205 × 78,205
  4. Step 4: Simplify right side
    38,566x = 6,116,022,025
  5. Step 5: Solve for x
    x = 6,116,022,025/38,566
  6. Step 6: Final answer
    x = 158,585.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.