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Finding the Third Proportional to 38,194 and 56,120

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Solution

The third proportional to 38,194 and 56,120 is: 82,459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,194 : 56,120 = 56,120 : x
  2. Step 2: Convert to fraction form
    38,194/56,120 = 56,120/x
  3. Step 3: Cross multiply
    38,194x = 56,120 × 56,120
  4. Step 4: Simplify right side
    38,194x = 3,149,454,400
  5. Step 5: Solve for x
    x = 3,149,454,400/38,194
  6. Step 6: Final answer
    x = 82,459.40

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