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Finding the Third Proportional to 63,784 and 139,660

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Solution

The third proportional to 63,784 and 139,660 is: 305,796.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,784 : 139,660 = 139,660 : x
  2. Step 2: Convert to fraction form
    63,784/139,660 = 139,660/x
  3. Step 3: Cross multiply
    63,784x = 139,660 × 139,660
  4. Step 4: Simplify right side
    63,784x = 19,504,915,600
  5. Step 5: Solve for x
    x = 19,504,915,600/63,784
  6. Step 6: Final answer
    x = 305,796.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.