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Finding the Third Proportional to 63,740 and 140,062

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Solution

The third proportional to 63,740 and 140,062 is: 307,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,740 : 140,062 = 140,062 : x
  2. Step 2: Convert to fraction form
    63,740/140,062 = 140,062/x
  3. Step 3: Cross multiply
    63,740x = 140,062 × 140,062
  4. Step 4: Simplify right side
    63,740x = 19,617,363,844
  5. Step 5: Solve for x
    x = 19,617,363,844/63,740
  6. Step 6: Final answer
    x = 307,771.63

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