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Finding the Third Proportional to 63,548.30 and 135,540.84

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Solution

The third proportional to 63,548.30 and 135,540.84 is: 289,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,548.30 : 135,540.84 = 135,540.84 : x
  2. Step 2: Convert to fraction form
    63,548.30/135,540.84 = 135,540.84/x
  3. Step 3: Cross multiply
    63,548.30x = 135,540.84 × 135,540.84
  4. Step 4: Simplify right side
    63,548.30x = 18,371,320,324.46
  5. Step 5: Solve for x
    x = 18,371,320,324.46/63,548.30
  6. Step 6: Final answer
    x = 289,092.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.