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Finding the Third Proportional to 62,544 and 127,634

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Solution

The third proportional to 62,544 and 127,634 is: 260,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,544 : 127,634 = 127,634 : x
  2. Step 2: Convert to fraction form
    62,544/127,634 = 127,634/x
  3. Step 3: Cross multiply
    62,544x = 127,634 × 127,634
  4. Step 4: Simplify right side
    62,544x = 16,290,437,956
  5. Step 5: Solve for x
    x = 16,290,437,956/62,544
  6. Step 6: Final answer
    x = 260,463.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.