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Finding the Third Proportional to 53,171.25 and 116,824.88

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Solution

The third proportional to 53,171.25 and 116,824.88 is: 256,681.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,171.25 : 116,824.88 = 116,824.88 : x
  2. Step 2: Convert to fraction form
    53,171.25/116,824.88 = 116,824.88/x
  3. Step 3: Cross multiply
    53,171.25x = 116,824.88 × 116,824.88
  4. Step 4: Simplify right side
    53,171.25x = 13,648,051,418.77
  5. Step 5: Solve for x
    x = 13,648,051,418.77/53,171.25
  6. Step 6: Final answer
    x = 256,681.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.