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Finding the Third Proportional to 63,992 and 139,630

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Solution

The third proportional to 63,992 and 139,630 is: 304,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,992 : 139,630 = 139,630 : x
  2. Step 2: Convert to fraction form
    63,992/139,630 = 139,630/x
  3. Step 3: Cross multiply
    63,992x = 139,630 × 139,630
  4. Step 4: Simplify right side
    63,992x = 19,496,536,900
  5. Step 5: Solve for x
    x = 19,496,536,900/63,992
  6. Step 6: Final answer
    x = 304,671.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.