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Finding the Third Proportional to 49,260 and 72,162

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Solution

The third proportional to 49,260 and 72,162 is: 105,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,260 : 72,162 = 72,162 : x
  2. Step 2: Convert to fraction form
    49,260/72,162 = 72,162/x
  3. Step 3: Cross multiply
    49,260x = 72,162 × 72,162
  4. Step 4: Simplify right side
    49,260x = 5,207,354,244
  5. Step 5: Solve for x
    x = 5,207,354,244/49,260
  6. Step 6: Final answer
    x = 105,711.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.