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Finding the Third Proportional to 63,546.75 and 132,356.81

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Solution

The third proportional to 63,546.75 and 132,356.81 is: 275,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,546.75 : 132,356.81 = 132,356.81 : x
  2. Step 2: Convert to fraction form
    63,546.75/132,356.81 = 132,356.81/x
  3. Step 3: Cross multiply
    63,546.75x = 132,356.81 × 132,356.81
  4. Step 4: Simplify right side
    63,546.75x = 17,518,325,815.16
  5. Step 5: Solve for x
    x = 17,518,325,815.16/63,546.75
  6. Step 6: Final answer
    x = 275,676.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.