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Finding the Third Proportional to 82,881 and 180,943

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Solution

The third proportional to 82,881 and 180,943 is: 395,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,881 : 180,943 = 180,943 : x
  2. Step 2: Convert to fraction form
    82,881/180,943 = 180,943/x
  3. Step 3: Cross multiply
    82,881x = 180,943 × 180,943
  4. Step 4: Simplify right side
    82,881x = 32,740,369,249
  5. Step 5: Solve for x
    x = 32,740,369,249/82,881
  6. Step 6: Final answer
    x = 395,028.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.