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Finding the Third Proportional to 85,100 and 180,961

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Solution

The third proportional to 85,100 and 180,961 is: 384,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,100 : 180,961 = 180,961 : x
  2. Step 2: Convert to fraction form
    85,100/180,961 = 180,961/x
  3. Step 3: Cross multiply
    85,100x = 180,961 × 180,961
  4. Step 4: Simplify right side
    85,100x = 32,746,883,521
  5. Step 5: Solve for x
    x = 32,746,883,521/85,100
  6. Step 6: Final answer
    x = 384,804.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.