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Finding the Third Proportional to 51,829.50 and 95,872

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Solution

The third proportional to 51,829.50 and 95,872 is: 177,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829.50 : 95,872 = 95,872 : x
  2. Step 2: Convert to fraction form
    51,829.50/95,872 = 95,872/x
  3. Step 3: Cross multiply
    51,829.50x = 95,872 × 95,872
  4. Step 4: Simplify right side
    51,829.50x = 9,191,440,384
  5. Step 5: Solve for x
    x = 9,191,440,384/51,829.50
  6. Step 6: Final answer
    x = 177,339.94

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.