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Finding the Third Proportional to 127,012 and 275,408

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Solution

The third proportional to 127,012 and 275,408 is: 597,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,012 : 275,408 = 275,408 : x
  2. Step 2: Convert to fraction form
    127,012/275,408 = 275,408/x
  3. Step 3: Cross multiply
    127,012x = 275,408 × 275,408
  4. Step 4: Simplify right side
    127,012x = 75,849,566,464
  5. Step 5: Solve for x
    x = 75,849,566,464/127,012
  6. Step 6: Final answer
    x = 597,184.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.