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Finding the Third Proportional to 52,758.75 and 115,523.16

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Solution

The third proportional to 52,758.75 and 115,523.16 is: 252,955.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,758.75 : 115,523.16 = 115,523.16 : x
  2. Step 2: Convert to fraction form
    52,758.75/115,523.16 = 115,523.16/x
  3. Step 3: Cross multiply
    52,758.75x = 115,523.16 × 115,523.16
  4. Step 4: Simplify right side
    52,758.75x = 13,345,599,629.96
  5. Step 5: Solve for x
    x = 13,345,599,629.96/52,758.75
  6. Step 6: Final answer
    x = 252,955.19

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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.