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Finding the Third Proportional to 53,831.25 and 117,493.88

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Solution

The third proportional to 53,831.25 and 117,493.88 is: 256,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,831.25 : 117,493.88 = 117,493.88 : x
  2. Step 2: Convert to fraction form
    53,831.25/117,493.88 = 117,493.88/x
  3. Step 3: Cross multiply
    53,831.25x = 117,493.88 × 117,493.88
  4. Step 4: Simplify right side
    53,831.25x = 13,804,810,662.52
  5. Step 5: Solve for x
    x = 13,804,810,662.52/53,831.25
  6. Step 6: Final answer
    x = 256,446.04

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