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Finding the Third Proportional to 120,096 and 179,712

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Solution

The third proportional to 120,096 and 179,712 is: 268,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,096 : 179,712 = 179,712 : x
  2. Step 2: Convert to fraction form
    120,096/179,712 = 179,712/x
  3. Step 3: Cross multiply
    120,096x = 179,712 × 179,712
  4. Step 4: Simplify right side
    120,096x = 32,296,402,944
  5. Step 5: Solve for x
    x = 32,296,402,944/120,096
  6. Step 6: Final answer
    x = 268,921.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.