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Finding the Third Proportional to 62,668 and 137,740

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Solution

The third proportional to 62,668 and 137,740 is: 302,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,668 : 137,740 = 137,740 : x
  2. Step 2: Convert to fraction form
    62,668/137,740 = 137,740/x
  3. Step 3: Cross multiply
    62,668x = 137,740 × 137,740
  4. Step 4: Simplify right side
    62,668x = 18,972,307,600
  5. Step 5: Solve for x
    x = 18,972,307,600/62,668
  6. Step 6: Final answer
    x = 302,743.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.