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Finding the Third Proportional to 53,424 and 114,887.25

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Solution

The third proportional to 53,424 and 114,887.25 is: 247,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,424 : 114,887.25 = 114,887.25 : x
  2. Step 2: Convert to fraction form
    53,424/114,887.25 = 114,887.25/x
  3. Step 3: Cross multiply
    53,424x = 114,887.25 × 114,887.25
  4. Step 4: Simplify right side
    53,424x = 13,199,080,212.56
  5. Step 5: Solve for x
    x = 13,199,080,212.56/53,424
  6. Step 6: Final answer
    x = 247,062.75

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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.