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Finding the Third Proportional to 63,812 and 140,488

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Solution

The third proportional to 63,812 and 140,488 is: 309,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,812 : 140,488 = 140,488 : x
  2. Step 2: Convert to fraction form
    63,812/140,488 = 140,488/x
  3. Step 3: Cross multiply
    63,812x = 140,488 × 140,488
  4. Step 4: Simplify right side
    63,812x = 19,736,878,144
  5. Step 5: Solve for x
    x = 19,736,878,144/63,812
  6. Step 6: Final answer
    x = 309,297.28

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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.