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Finding the Third Proportional to 53,266.36 and 114,832.69

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Solution

The third proportional to 53,266.36 and 114,832.69 is: 247,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,266.36 : 114,832.69 = 114,832.69 : x
  2. Step 2: Convert to fraction form
    53,266.36/114,832.69 = 114,832.69/x
  3. Step 3: Cross multiply
    53,266.36x = 114,832.69 × 114,832.69
  4. Step 4: Simplify right side
    53,266.36x = 13,186,546,118.47
  5. Step 5: Solve for x
    x = 13,186,546,118.47/53,266.36
  6. Step 6: Final answer
    x = 247,558.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.