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Finding the Third Proportional to 45,362 and 90,906

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Solution

The third proportional to 45,362 and 90,906 is: 182,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,362 : 90,906 = 90,906 : x
  2. Step 2: Convert to fraction form
    45,362/90,906 = 90,906/x
  3. Step 3: Cross multiply
    45,362x = 90,906 × 90,906
  4. Step 4: Simplify right side
    45,362x = 8,263,900,836
  5. Step 5: Solve for x
    x = 8,263,900,836/45,362
  6. Step 6: Final answer
    x = 182,176.73

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.