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Finding the Third Proportional to 53,371.88 and 114,991.13

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Solution

The third proportional to 53,371.88 and 114,991.13 is: 247,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,371.88 : 114,991.13 = 114,991.13 : x
  2. Step 2: Convert to fraction form
    53,371.88/114,991.13 = 114,991.13/x
  3. Step 3: Cross multiply
    53,371.88x = 114,991.13 × 114,991.13
  4. Step 4: Simplify right side
    53,371.88x = 13,222,958,828.77
  5. Step 5: Solve for x
    x = 13,222,958,828.77/53,371.88
  6. Step 6: Final answer
    x = 247,751.44

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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.