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Finding the Third Proportional to 53,814.75 and 117,317.25

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Solution

The third proportional to 53,814.75 and 117,317.25 is: 255,753.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,814.75 : 117,317.25 = 117,317.25 : x
  2. Step 2: Convert to fraction form
    53,814.75/117,317.25 = 117,317.25/x
  3. Step 3: Cross multiply
    53,814.75x = 117,317.25 × 117,317.25
  4. Step 4: Simplify right side
    53,814.75x = 13,763,337,147.56
  5. Step 5: Solve for x
    x = 13,763,337,147.56/53,814.75
  6. Step 6: Final answer
    x = 255,753.99

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Why These Related Problems?

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