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Finding the Third Proportional to 82,100 and 179,628

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Solution

The third proportional to 82,100 and 179,628 is: 393,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,100 : 179,628 = 179,628 : x
  2. Step 2: Convert to fraction form
    82,100/179,628 = 179,628/x
  3. Step 3: Cross multiply
    82,100x = 179,628 × 179,628
  4. Step 4: Simplify right side
    82,100x = 32,266,218,384
  5. Step 5: Solve for x
    x = 32,266,218,384/82,100
  6. Step 6: Final answer
    x = 393,011.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.