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Finding the Third Proportional to 82,205 and 179,629

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Solution

The third proportional to 82,205 and 179,629 is: 392,513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,205 : 179,629 = 179,629 : x
  2. Step 2: Convert to fraction form
    82,205/179,629 = 179,629/x
  3. Step 3: Cross multiply
    82,205x = 179,629 × 179,629
  4. Step 4: Simplify right side
    82,205x = 32,266,577,641
  5. Step 5: Solve for x
    x = 32,266,577,641/82,205
  6. Step 6: Final answer
    x = 392,513.57

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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.