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Finding the Third Proportional to 114,135.75 and 244,100.25

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Solution

The third proportional to 114,135.75 and 244,100.25 is: 522,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,135.75 : 244,100.25 = 244,100.25 : x
  2. Step 2: Convert to fraction form
    114,135.75/244,100.25 = 244,100.25/x
  3. Step 3: Cross multiply
    114,135.75x = 244,100.25 × 244,100.25
  4. Step 4: Simplify right side
    114,135.75x = 59,584,932,050.06
  5. Step 5: Solve for x
    x = 59,584,932,050.06/114,135.75
  6. Step 6: Final answer
    x = 522,053.19

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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.