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Finding the Third Proportional to 120,468 and 160,992

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Solution

The third proportional to 120,468 and 160,992 is: 215,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,468 : 160,992 = 160,992 : x
  2. Step 2: Convert to fraction form
    120,468/160,992 = 160,992/x
  3. Step 3: Cross multiply
    120,468x = 160,992 × 160,992
  4. Step 4: Simplify right side
    120,468x = 25,918,424,064
  5. Step 5: Solve for x
    x = 25,918,424,064/120,468
  6. Step 6: Final answer
    x = 215,147.79

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.