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Finding the Third Proportional to 53,168.25 and 115,995

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Solution

The third proportional to 53,168.25 and 115,995 is: 253,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,168.25 : 115,995 = 115,995 : x
  2. Step 2: Convert to fraction form
    53,168.25/115,995 = 115,995/x
  3. Step 3: Cross multiply
    53,168.25x = 115,995 × 115,995
  4. Step 4: Simplify right side
    53,168.25x = 13,454,840,025
  5. Step 5: Solve for x
    x = 13,454,840,025/53,168.25
  6. Step 6: Final answer
    x = 253,061.56

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