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Finding the Third Proportional to 53,016.75 and 115,237.13

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Solution

The third proportional to 53,016.75 and 115,237.13 is: 250,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,016.75 : 115,237.13 = 115,237.13 : x
  2. Step 2: Convert to fraction form
    53,016.75/115,237.13 = 115,237.13/x
  3. Step 3: Cross multiply
    53,016.75x = 115,237.13 × 115,237.13
  4. Step 4: Simplify right side
    53,016.75x = 13,279,594,978.27
  5. Step 5: Solve for x
    x = 13,279,594,978.27/53,016.75
  6. Step 6: Final answer
    x = 250,479.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.