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Finding the Third Proportional to 53,052.75 and 115,436.25

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Solution

The third proportional to 53,052.75 and 115,436.25 is: 251,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,052.75 : 115,436.25 = 115,436.25 : x
  2. Step 2: Convert to fraction form
    53,052.75/115,436.25 = 115,436.25/x
  3. Step 3: Cross multiply
    53,052.75x = 115,436.25 × 115,436.25
  4. Step 4: Simplify right side
    53,052.75x = 13,325,527,814.06
  5. Step 5: Solve for x
    x = 13,325,527,814.06/53,052.75
  6. Step 6: Final answer
    x = 251,175.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.