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Finding the Third Proportional to 113,896 and 173,652

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Solution

The third proportional to 113,896 and 173,652 is: 264,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,896 : 173,652 = 173,652 : x
  2. Step 2: Convert to fraction form
    113,896/173,652 = 173,652/x
  3. Step 3: Cross multiply
    113,896x = 173,652 × 173,652
  4. Step 4: Simplify right side
    113,896x = 30,155,017,104
  5. Step 5: Solve for x
    x = 30,155,017,104/113,896
  6. Step 6: Final answer
    x = 264,759.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.