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Finding the Third Proportional to 63,500 and 139,532

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Solution

The third proportional to 63,500 and 139,532 is: 306,601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,500 : 139,532 = 139,532 : x
  2. Step 2: Convert to fraction form
    63,500/139,532 = 139,532/x
  3. Step 3: Cross multiply
    63,500x = 139,532 × 139,532
  4. Step 4: Simplify right side
    63,500x = 19,469,179,024
  5. Step 5: Solve for x
    x = 19,469,179,024/63,500
  6. Step 6: Final answer
    x = 306,601.24

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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.