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Finding the Third Proportional to 49,720 and 96,920

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Solution

The third proportional to 49,720 and 96,920 is: 188,927.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,720 : 96,920 = 96,920 : x
  2. Step 2: Convert to fraction form
    49,720/96,920 = 96,920/x
  3. Step 3: Cross multiply
    49,720x = 96,920 × 96,920
  4. Step 4: Simplify right side
    49,720x = 9,393,486,400
  5. Step 5: Solve for x
    x = 9,393,486,400/49,720
  6. Step 6: Final answer
    x = 188,927.72

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.