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Finding the Third Proportional to 84,519 and 127,116

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Solution

The third proportional to 84,519 and 127,116 is: 191,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,519 : 127,116 = 127,116 : x
  2. Step 2: Convert to fraction form
    84,519/127,116 = 127,116/x
  3. Step 3: Cross multiply
    84,519x = 127,116 × 127,116
  4. Step 4: Simplify right side
    84,519x = 16,158,477,456
  5. Step 5: Solve for x
    x = 16,158,477,456/84,519
  6. Step 6: Final answer
    x = 191,181.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.