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Finding the Third Proportional to 53,007.75 and 115,382.25

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Solution

The third proportional to 53,007.75 and 115,382.25 is: 251,153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,007.75 : 115,382.25 = 115,382.25 : x
  2. Step 2: Convert to fraction form
    53,007.75/115,382.25 = 115,382.25/x
  3. Step 3: Cross multiply
    53,007.75x = 115,382.25 × 115,382.25
  4. Step 4: Simplify right side
    53,007.75x = 13,313,063,615.06
  5. Step 5: Solve for x
    x = 13,313,063,615.06/53,007.75
  6. Step 6: Final answer
    x = 251,153.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.