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Finding the Third Proportional to 62,538 and 127,623

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Solution

The third proportional to 62,538 and 127,623 is: 260,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,538 : 127,623 = 127,623 : x
  2. Step 2: Convert to fraction form
    62,538/127,623 = 127,623/x
  3. Step 3: Cross multiply
    62,538x = 127,623 × 127,623
  4. Step 4: Simplify right side
    62,538x = 16,287,630,129
  5. Step 5: Solve for x
    x = 16,287,630,129/62,538
  6. Step 6: Final answer
    x = 260,443.73

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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.