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Finding the Third Proportional to 127,999 and 275,620

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Solution

The third proportional to 127,999 and 275,620 is: 593,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,999 : 275,620 = 275,620 : x
  2. Step 2: Convert to fraction form
    127,999/275,620 = 275,620/x
  3. Step 3: Cross multiply
    127,999x = 275,620 × 275,620
  4. Step 4: Simplify right side
    127,999x = 75,966,384,400
  5. Step 5: Solve for x
    x = 75,966,384,400/127,999
  6. Step 6: Final answer
    x = 593,492.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.