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Finding the Third Proportional to 84,223 and 126,205

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Solution

The third proportional to 84,223 and 126,205 is: 189,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,223 : 126,205 = 126,205 : x
  2. Step 2: Convert to fraction form
    84,223/126,205 = 126,205/x
  3. Step 3: Cross multiply
    84,223x = 126,205 × 126,205
  4. Step 4: Simplify right side
    84,223x = 15,927,702,025
  5. Step 5: Solve for x
    x = 15,927,702,025/84,223
  6. Step 6: Final answer
    x = 189,113.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.