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Finding the Third Proportional to 114,039.75 and 164,270.25

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Solution

The third proportional to 114,039.75 and 164,270.25 is: 236,625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,039.75 : 164,270.25 = 164,270.25 : x
  2. Step 2: Convert to fraction form
    114,039.75/164,270.25 = 164,270.25/x
  3. Step 3: Cross multiply
    114,039.75x = 164,270.25 × 164,270.25
  4. Step 4: Simplify right side
    114,039.75x = 26,984,715,035.06
  5. Step 5: Solve for x
    x = 26,984,715,035.06/114,039.75
  6. Step 6: Final answer
    x = 236,625.52

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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.