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Finding the Third Proportional to 53,799.75 and 117,441

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Solution

The third proportional to 53,799.75 and 117,441 is: 256,365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,799.75 : 117,441 = 117,441 : x
  2. Step 2: Convert to fraction form
    53,799.75/117,441 = 117,441/x
  3. Step 3: Cross multiply
    53,799.75x = 117,441 × 117,441
  4. Step 4: Simplify right side
    53,799.75x = 13,792,388,481
  5. Step 5: Solve for x
    x = 13,792,388,481/53,799.75
  6. Step 6: Final answer
    x = 256,365.29

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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.