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Finding the Third Proportional to 94,812 and 138,318

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Solution

The third proportional to 94,812 and 138,318 is: 201,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,812 : 138,318 = 138,318 : x
  2. Step 2: Convert to fraction form
    94,812/138,318 = 138,318/x
  3. Step 3: Cross multiply
    94,812x = 138,318 × 138,318
  4. Step 4: Simplify right side
    94,812x = 19,131,869,124
  5. Step 5: Solve for x
    x = 19,131,869,124/94,812
  6. Step 6: Final answer
    x = 201,787.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.