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Finding the Third Proportional to 114,135.75 and 164,400.75

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Solution

The third proportional to 114,135.75 and 164,400.75 is: 236,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,135.75 : 164,400.75 = 164,400.75 : x
  2. Step 2: Convert to fraction form
    114,135.75/164,400.75 = 164,400.75/x
  3. Step 3: Cross multiply
    114,135.75x = 164,400.75 × 164,400.75
  4. Step 4: Simplify right side
    114,135.75x = 27,027,606,600.56
  5. Step 5: Solve for x
    x = 27,027,606,600.56/114,135.75
  6. Step 6: Final answer
    x = 236,802.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.