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Finding the Third Proportional to 53,849.25 and 115,029

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Solution

The third proportional to 53,849.25 and 115,029 is: 245,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,849.25 : 115,029 = 115,029 : x
  2. Step 2: Convert to fraction form
    53,849.25/115,029 = 115,029/x
  3. Step 3: Cross multiply
    53,849.25x = 115,029 × 115,029
  4. Step 4: Simplify right side
    53,849.25x = 13,231,670,841
  5. Step 5: Solve for x
    x = 13,231,670,841/53,849.25
  6. Step 6: Final answer
    x = 245,716.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.