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Finding the Third Proportional to 59,592 and 126,800

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Solution

The third proportional to 59,592 and 126,800 is: 269,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,592 : 126,800 = 126,800 : x
  2. Step 2: Convert to fraction form
    59,592/126,800 = 126,800/x
  3. Step 3: Cross multiply
    59,592x = 126,800 × 126,800
  4. Step 4: Simplify right side
    59,592x = 16,078,240,000
  5. Step 5: Solve for x
    x = 16,078,240,000/59,592
  6. Step 6: Final answer
    x = 269,805.34

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.