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Finding the Third Proportional to 49,920 and 76,968

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Solution

The third proportional to 49,920 and 76,968 is: 118,671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,920 : 76,968 = 76,968 : x
  2. Step 2: Convert to fraction form
    49,920/76,968 = 76,968/x
  3. Step 3: Cross multiply
    49,920x = 76,968 × 76,968
  4. Step 4: Simplify right side
    49,920x = 5,924,073,024
  5. Step 5: Solve for x
    x = 5,924,073,024/49,920
  6. Step 6: Final answer
    x = 118,671.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.