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Finding the Third Proportional to 84,140 and 179,954

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Solution

The third proportional to 84,140 and 179,954 is: 384,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,140 : 179,954 = 179,954 : x
  2. Step 2: Convert to fraction form
    84,140/179,954 = 179,954/x
  3. Step 3: Cross multiply
    84,140x = 179,954 × 179,954
  4. Step 4: Simplify right side
    84,140x = 32,383,442,116
  5. Step 5: Solve for x
    x = 32,383,442,116/84,140
  6. Step 6: Final answer
    x = 384,875.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.