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Finding the Third Proportional to 54,006.75 and 132,799.50

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Solution

The third proportional to 54,006.75 and 132,799.50 is: 326,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,006.75 : 132,799.50 = 132,799.50 : x
  2. Step 2: Convert to fraction form
    54,006.75/132,799.50 = 132,799.50/x
  3. Step 3: Cross multiply
    54,006.75x = 132,799.50 × 132,799.50
  4. Step 4: Simplify right side
    54,006.75x = 17,635,707,200.25
  5. Step 5: Solve for x
    x = 17,635,707,200.25/54,006.75
  6. Step 6: Final answer
    x = 326,546.35

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.