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Finding the Third Proportional to 63,740 and 140,065

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Solution

The third proportional to 63,740 and 140,065 is: 307,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,740 : 140,065 = 140,065 : x
  2. Step 2: Convert to fraction form
    63,740/140,065 = 140,065/x
  3. Step 3: Cross multiply
    63,740x = 140,065 × 140,065
  4. Step 4: Simplify right side
    63,740x = 19,618,204,225
  5. Step 5: Solve for x
    x = 19,618,204,225/63,740
  6. Step 6: Final answer
    x = 307,784.82

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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.