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Finding the Third Proportional to 53,797.50 and 117,578.25

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Solution

The third proportional to 53,797.50 and 117,578.25 is: 256,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,797.50 : 117,578.25 = 117,578.25 : x
  2. Step 2: Convert to fraction form
    53,797.50/117,578.25 = 117,578.25/x
  3. Step 3: Cross multiply
    53,797.50x = 117,578.25 × 117,578.25
  4. Step 4: Simplify right side
    53,797.50x = 13,824,644,873.06
  5. Step 5: Solve for x
    x = 13,824,644,873.06/53,797.50
  6. Step 6: Final answer
    x = 256,975.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.