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Finding the Third Proportional to 64,540.97 and 139,804.31

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Solution

The third proportional to 64,540.97 and 139,804.31 is: 302,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,540.97 : 139,804.31 = 139,804.31 : x
  2. Step 2: Convert to fraction form
    64,540.97/139,804.31 = 139,804.31/x
  3. Step 3: Cross multiply
    64,540.97x = 139,804.31 × 139,804.31
  4. Step 4: Simplify right side
    64,540.97x = 19,545,245,793.60
  5. Step 5: Solve for x
    x = 19,545,245,793.60/64,540.97
  6. Step 6: Final answer
    x = 302,834.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.