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Finding the Third Proportional to 53,857 and 115,045

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Solution

The third proportional to 53,857 and 115,045 is: 245,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,857 : 115,045 = 115,045 : x
  2. Step 2: Convert to fraction form
    53,857/115,045 = 115,045/x
  3. Step 3: Cross multiply
    53,857x = 115,045 × 115,045
  4. Step 4: Simplify right side
    53,857x = 13,235,352,025
  5. Step 5: Solve for x
    x = 13,235,352,025/53,857
  6. Step 6: Final answer
    x = 245,749.89

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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.