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Finding the Third Proportional to 38,103 and 81,120

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Solution

The third proportional to 38,103 and 81,120 is: 172,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,103 : 81,120 = 81,120 : x
  2. Step 2: Convert to fraction form
    38,103/81,120 = 81,120/x
  3. Step 3: Cross multiply
    38,103x = 81,120 × 81,120
  4. Step 4: Simplify right side
    38,103x = 6,580,454,400
  5. Step 5: Solve for x
    x = 6,580,454,400/38,103
  6. Step 6: Final answer
    x = 172,701.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.