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Finding the Third Proportional to 82,813 and 128,468

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Solution

The third proportional to 82,813 and 128,468 is: 199,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,813 : 128,468 = 128,468 : x
  2. Step 2: Convert to fraction form
    82,813/128,468 = 128,468/x
  3. Step 3: Cross multiply
    82,813x = 128,468 × 128,468
  4. Step 4: Simplify right side
    82,813x = 16,504,027,024
  5. Step 5: Solve for x
    x = 16,504,027,024/82,813
  6. Step 6: Final answer
    x = 199,292.71

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Why These Related Problems?

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