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Finding the Third Proportional to 49,187.25 and 107,831.25

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Solution

The third proportional to 49,187.25 and 107,831.25 is: 236,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,187.25 : 107,831.25 = 107,831.25 : x
  2. Step 2: Convert to fraction form
    49,187.25/107,831.25 = 107,831.25/x
  3. Step 3: Cross multiply
    49,187.25x = 107,831.25 × 107,831.25
  4. Step 4: Simplify right side
    49,187.25x = 11,627,578,476.56
  5. Step 5: Solve for x
    x = 11,627,578,476.56/49,187.25
  6. Step 6: Final answer
    x = 236,394.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.