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Finding the Third Proportional to 84,068 and 180,892

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Solution

The third proportional to 84,068 and 180,892 is: 389,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,068 : 180,892 = 180,892 : x
  2. Step 2: Convert to fraction form
    84,068/180,892 = 180,892/x
  3. Step 3: Cross multiply
    84,068x = 180,892 × 180,892
  4. Step 4: Simplify right side
    84,068x = 32,721,915,664
  5. Step 5: Solve for x
    x = 32,721,915,664/84,068
  6. Step 6: Final answer
    x = 389,231.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.