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Finding the Third Proportional to 63,772.25 and 139,027

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Solution

The third proportional to 63,772.25 and 139,027 is: 303,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,772.25 : 139,027 = 139,027 : x
  2. Step 2: Convert to fraction form
    63,772.25/139,027 = 139,027/x
  3. Step 3: Cross multiply
    63,772.25x = 139,027 × 139,027
  4. Step 4: Simplify right side
    63,772.25x = 19,328,506,729
  5. Step 5: Solve for x
    x = 19,328,506,729/63,772.25
  6. Step 6: Final answer
    x = 303,086.48

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Why These Related Problems?

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