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Finding the Third Proportional to 112,676 and 163,720

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Solution

The third proportional to 112,676 and 163,720 is: 237,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,676 : 163,720 = 163,720 : x
  2. Step 2: Convert to fraction form
    112,676/163,720 = 163,720/x
  3. Step 3: Cross multiply
    112,676x = 163,720 × 163,720
  4. Step 4: Simplify right side
    112,676x = 26,804,238,400
  5. Step 5: Solve for x
    x = 26,804,238,400/112,676
  6. Step 6: Final answer
    x = 237,887.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.