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Finding the Third Proportional to 122,080.50 and 251,469

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Solution

The third proportional to 122,080.50 and 251,469 is: 517,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,080.50 : 251,469 = 251,469 : x
  2. Step 2: Convert to fraction form
    122,080.50/251,469 = 251,469/x
  3. Step 3: Cross multiply
    122,080.50x = 251,469 × 251,469
  4. Step 4: Simplify right side
    122,080.50x = 63,236,657,961
  5. Step 5: Solve for x
    x = 63,236,657,961/122,080.50
  6. Step 6: Final answer
    x = 517,991.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.