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Finding the Third Proportional to 63,546.19 and 132,355.69

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Solution

The third proportional to 63,546.19 and 132,355.69 is: 275,673.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,546.19 : 132,355.69 = 132,355.69 : x
  2. Step 2: Convert to fraction form
    63,546.19/132,355.69 = 132,355.69/x
  3. Step 3: Cross multiply
    63,546.19x = 132,355.69 × 132,355.69
  4. Step 4: Simplify right side
    63,546.19x = 17,518,028,013.60
  5. Step 5: Solve for x
    x = 17,518,028,013.60/63,546.19
  6. Step 6: Final answer
    x = 275,673.94

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