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Finding the Third Proportional to 62,404 and 127,724

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Solution

The third proportional to 62,404 and 127,724 is: 261,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,404 : 127,724 = 127,724 : x
  2. Step 2: Convert to fraction form
    62,404/127,724 = 127,724/x
  3. Step 3: Cross multiply
    62,404x = 127,724 × 127,724
  4. Step 4: Simplify right side
    62,404x = 16,313,420,176
  5. Step 5: Solve for x
    x = 16,313,420,176/62,404
  6. Step 6: Final answer
    x = 261,416.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.