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Finding the Third Proportional to 78,922 and 120,732

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Solution

The third proportional to 78,922 and 120,732 is: 184,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,922 : 120,732 = 120,732 : x
  2. Step 2: Convert to fraction form
    78,922/120,732 = 120,732/x
  3. Step 3: Cross multiply
    78,922x = 120,732 × 120,732
  4. Step 4: Simplify right side
    78,922x = 14,576,215,824
  5. Step 5: Solve for x
    x = 14,576,215,824/78,922
  6. Step 6: Final answer
    x = 184,691.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.