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Finding the Third Proportional to 53,523.56 and 115,268.63

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Solution

The third proportional to 53,523.56 and 115,268.63 is: 248,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,523.56 : 115,268.63 = 115,268.63 : x
  2. Step 2: Convert to fraction form
    53,523.56/115,268.63 = 115,268.63/x
  3. Step 3: Cross multiply
    53,523.56x = 115,268.63 × 115,268.63
  4. Step 4: Simplify right side
    53,523.56x = 13,286,855,909.39
  5. Step 5: Solve for x
    x = 13,286,855,909.39/53,523.56
  6. Step 6: Final answer
    x = 248,243.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.