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Finding the Third Proportional to 53,825.34 and 125,720.44

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Solution

The third proportional to 53,825.34 and 125,720.44 is: 293,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,825.34 : 125,720.44 = 125,720.44 : x
  2. Step 2: Convert to fraction form
    53,825.34/125,720.44 = 125,720.44/x
  3. Step 3: Cross multiply
    53,825.34x = 125,720.44 × 125,720.44
  4. Step 4: Simplify right side
    53,825.34x = 15,805,628,405.19
  5. Step 5: Solve for x
    x = 15,805,628,405.19/53,825.34
  6. Step 6: Final answer
    x = 293,646.59

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.