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Finding the Third Proportional to 77,640 and 165,448

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Solution

The third proportional to 77,640 and 165,448 is: 352,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,640 : 165,448 = 165,448 : x
  2. Step 2: Convert to fraction form
    77,640/165,448 = 165,448/x
  3. Step 3: Cross multiply
    77,640x = 165,448 × 165,448
  4. Step 4: Simplify right side
    77,640x = 27,373,040,704
  5. Step 5: Solve for x
    x = 27,373,040,704/77,640
  6. Step 6: Final answer
    x = 352,563.64

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