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Finding the Third Proportional to 113,050 and 179,954

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Solution

The third proportional to 113,050 and 179,954 is: 286,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,050 : 179,954 = 179,954 : x
  2. Step 2: Convert to fraction form
    113,050/179,954 = 179,954/x
  3. Step 3: Cross multiply
    113,050x = 179,954 × 179,954
  4. Step 4: Simplify right side
    113,050x = 32,383,442,116
  5. Step 5: Solve for x
    x = 32,383,442,116/113,050
  6. Step 6: Final answer
    x = 286,452.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.