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Finding the Third Proportional to 53,855 and 115,041

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Solution

The third proportional to 53,855 and 115,041 is: 245,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,855 : 115,041 = 115,041 : x
  2. Step 2: Convert to fraction form
    53,855/115,041 = 115,041/x
  3. Step 3: Cross multiply
    53,855x = 115,041 × 115,041
  4. Step 4: Simplify right side
    53,855x = 13,234,431,681
  5. Step 5: Solve for x
    x = 13,234,431,681/53,855
  6. Step 6: Final answer
    x = 245,741.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.