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Finding the Third Proportional to 127,504 and 269,600

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Solution

The third proportional to 127,504 and 269,600 is: 570,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,504 : 269,600 = 269,600 : x
  2. Step 2: Convert to fraction form
    127,504/269,600 = 269,600/x
  3. Step 3: Cross multiply
    127,504x = 269,600 × 269,600
  4. Step 4: Simplify right side
    127,504x = 72,684,160,000
  5. Step 5: Solve for x
    x = 72,684,160,000/127,504
  6. Step 6: Final answer
    x = 570,053.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.