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Finding the Third Proportional to 127,642 and 203,491

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Solution

The third proportional to 127,642 and 203,491 is: 324,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,642 : 203,491 = 203,491 : x
  2. Step 2: Convert to fraction form
    127,642/203,491 = 203,491/x
  3. Step 3: Cross multiply
    127,642x = 203,491 × 203,491
  4. Step 4: Simplify right side
    127,642x = 41,408,587,081
  5. Step 5: Solve for x
    x = 41,408,587,081/127,642
  6. Step 6: Final answer
    x = 324,411.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.