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Finding the Third Proportional to 111,194 and 163,080

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Solution

The third proportional to 111,194 and 163,080 is: 239,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,194 : 163,080 = 163,080 : x
  2. Step 2: Convert to fraction form
    111,194/163,080 = 163,080/x
  3. Step 3: Cross multiply
    111,194x = 163,080 × 163,080
  4. Step 4: Simplify right side
    111,194x = 26,595,086,400
  5. Step 5: Solve for x
    x = 26,595,086,400/111,194
  6. Step 6: Final answer
    x = 239,177.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.