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Finding the Third Proportional to 81,831.75 and 123,051.75

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Solution

The third proportional to 81,831.75 and 123,051.75 is: 185,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,831.75 : 123,051.75 = 123,051.75 : x
  2. Step 2: Convert to fraction form
    81,831.75/123,051.75 = 123,051.75/x
  3. Step 3: Cross multiply
    81,831.75x = 123,051.75 × 123,051.75
  4. Step 4: Simplify right side
    81,831.75x = 15,141,733,178.06
  5. Step 5: Solve for x
    x = 15,141,733,178.06/81,831.75
  6. Step 6: Final answer
    x = 185,034.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.