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Finding the Third Proportional to 82,575 and 181,593

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Solution

The third proportional to 82,575 and 181,593 is: 399,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,575 : 181,593 = 181,593 : x
  2. Step 2: Convert to fraction form
    82,575/181,593 = 181,593/x
  3. Step 3: Cross multiply
    82,575x = 181,593 × 181,593
  4. Step 4: Simplify right side
    82,575x = 32,976,017,649
  5. Step 5: Solve for x
    x = 32,976,017,649/82,575
  6. Step 6: Final answer
    x = 399,346.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.