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Finding the Third Proportional to 52,640 and 115,120

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Solution

The third proportional to 52,640 and 115,120 is: 251,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,640 : 115,120 = 115,120 : x
  2. Step 2: Convert to fraction form
    52,640/115,120 = 115,120/x
  3. Step 3: Cross multiply
    52,640x = 115,120 × 115,120
  4. Step 4: Simplify right side
    52,640x = 13,252,614,400
  5. Step 5: Solve for x
    x = 13,252,614,400/52,640
  6. Step 6: Final answer
    x = 251,759.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.