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Finding the Third Proportional to 61,554.94 and 132,305.34

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Solution

The third proportional to 61,554.94 and 132,305.34 is: 284,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,554.94 : 132,305.34 = 132,305.34 : x
  2. Step 2: Convert to fraction form
    61,554.94/132,305.34 = 132,305.34/x
  3. Step 3: Cross multiply
    61,554.94x = 132,305.34 × 132,305.34
  4. Step 4: Simplify right side
    61,554.94x = 17,504,703,984.81
  5. Step 5: Solve for x
    x = 17,504,703,984.81/61,554.94
  6. Step 6: Final answer
    x = 284,375.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.