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Finding the Third Proportional to 81,038 and 168,520

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Solution

The third proportional to 81,038 and 168,520 is: 350,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,038 : 168,520 = 168,520 : x
  2. Step 2: Convert to fraction form
    81,038/168,520 = 168,520/x
  3. Step 3: Cross multiply
    81,038x = 168,520 × 168,520
  4. Step 4: Simplify right side
    81,038x = 28,398,990,400
  5. Step 5: Solve for x
    x = 28,398,990,400/81,038
  6. Step 6: Final answer
    x = 350,440.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.