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Finding the Third Proportional to 83,002 and 119,318

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Solution

The third proportional to 83,002 and 119,318 is: 171,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,002 : 119,318 = 119,318 : x
  2. Step 2: Convert to fraction form
    83,002/119,318 = 119,318/x
  3. Step 3: Cross multiply
    83,002x = 119,318 × 119,318
  4. Step 4: Simplify right side
    83,002x = 14,236,785,124
  5. Step 5: Solve for x
    x = 14,236,785,124/83,002
  6. Step 6: Final answer
    x = 171,523.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.