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Finding the Third Proportional to 53,021.25 and 114,344.81

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Solution

The third proportional to 53,021.25 and 114,344.81 is: 246,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,021.25 : 114,344.81 = 114,344.81 : x
  2. Step 2: Convert to fraction form
    53,021.25/114,344.81 = 114,344.81/x
  3. Step 3: Cross multiply
    53,021.25x = 114,344.81 × 114,344.81
  4. Step 4: Simplify right side
    53,021.25x = 13,074,736,145.66
  5. Step 5: Solve for x
    x = 13,074,736,145.66/53,021.25
  6. Step 6: Final answer
    x = 246,594.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.