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Finding the Third Proportional to 53,048.25 and 115,426.69

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Solution

The third proportional to 53,048.25 and 115,426.69 is: 251,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,048.25 : 115,426.69 = 115,426.69 : x
  2. Step 2: Convert to fraction form
    53,048.25/115,426.69 = 115,426.69/x
  3. Step 3: Cross multiply
    53,048.25x = 115,426.69 × 115,426.69
  4. Step 4: Simplify right side
    53,048.25x = 13,323,320,187.22
  5. Step 5: Solve for x
    x = 13,323,320,187.22/53,048.25
  6. Step 6: Final answer
    x = 251,154.75

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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.