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Finding the Third Proportional to 51,342 and 76,800

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Solution

The third proportional to 51,342 and 76,800 is: 114,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,342 : 76,800 = 76,800 : x
  2. Step 2: Convert to fraction form
    51,342/76,800 = 76,800/x
  3. Step 3: Cross multiply
    51,342x = 76,800 × 76,800
  4. Step 4: Simplify right side
    51,342x = 5,898,240,000
  5. Step 5: Solve for x
    x = 5,898,240,000/51,342
  6. Step 6: Final answer
    x = 114,881.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.