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Finding the Third Proportional to 45,210 and 69,945

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Solution

The third proportional to 45,210 and 69,945 is: 108,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,210 : 69,945 = 69,945 : x
  2. Step 2: Convert to fraction form
    45,210/69,945 = 69,945/x
  3. Step 3: Cross multiply
    45,210x = 69,945 × 69,945
  4. Step 4: Simplify right side
    45,210x = 4,892,303,025
  5. Step 5: Solve for x
    x = 4,892,303,025/45,210
  6. Step 6: Final answer
    x = 108,212.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.