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Finding the Third Proportional to 63,324 and 133,913

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Solution

The third proportional to 63,324 and 133,913 is: 283,189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,324 : 133,913 = 133,913 : x
  2. Step 2: Convert to fraction form
    63,324/133,913 = 133,913/x
  3. Step 3: Cross multiply
    63,324x = 133,913 × 133,913
  4. Step 4: Simplify right side
    63,324x = 17,932,691,569
  5. Step 5: Solve for x
    x = 17,932,691,569/63,324
  6. Step 6: Final answer
    x = 283,189.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.