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Finding the Third Proportional to 52,629.75 and 115,768.13

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Solution

The third proportional to 52,629.75 and 115,768.13 is: 254,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,629.75 : 115,768.13 = 115,768.13 : x
  2. Step 2: Convert to fraction form
    52,629.75/115,768.13 = 115,768.13/x
  3. Step 3: Cross multiply
    52,629.75x = 115,768.13 × 115,768.13
  4. Step 4: Simplify right side
    52,629.75x = 13,402,258,766.02
  5. Step 5: Solve for x
    x = 13,402,258,766.02/52,629.75
  6. Step 6: Final answer
    x = 254,651.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.