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Finding the Third Proportional to 63,679 and 137,740

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Solution

The third proportional to 63,679 and 137,740 is: 297,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,679 : 137,740 = 137,740 : x
  2. Step 2: Convert to fraction form
    63,679/137,740 = 137,740/x
  3. Step 3: Cross multiply
    63,679x = 137,740 × 137,740
  4. Step 4: Simplify right side
    63,679x = 18,972,307,600
  5. Step 5: Solve for x
    x = 18,972,307,600/63,679
  6. Step 6: Final answer
    x = 297,936.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.