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Finding the Third Proportional to 50,605.75 and 81,831.75

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Solution

The third proportional to 50,605.75 and 81,831.75 is: 132,325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,605.75 : 81,831.75 = 81,831.75 : x
  2. Step 2: Convert to fraction form
    50,605.75/81,831.75 = 81,831.75/x
  3. Step 3: Cross multiply
    50,605.75x = 81,831.75 × 81,831.75
  4. Step 4: Simplify right side
    50,605.75x = 6,696,435,308.06
  5. Step 5: Solve for x
    x = 6,696,435,308.06/50,605.75
  6. Step 6: Final answer
    x = 132,325.58

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.