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Finding the Third Proportional to 64,180.69 and 139,644

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Solution

The third proportional to 64,180.69 and 139,644 is: 303,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,180.69 : 139,644 = 139,644 : x
  2. Step 2: Convert to fraction form
    64,180.69/139,644 = 139,644/x
  3. Step 3: Cross multiply
    64,180.69x = 139,644 × 139,644
  4. Step 4: Simplify right side
    64,180.69x = 19,500,446,736
  5. Step 5: Solve for x
    x = 19,500,446,736/64,180.69
  6. Step 6: Final answer
    x = 303,836.68

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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.