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Finding the Third Proportional to 50,142.38 and 110,126.81

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Solution

The third proportional to 50,142.38 and 110,126.81 is: 241,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,142.38 : 110,126.81 = 110,126.81 : x
  2. Step 2: Convert to fraction form
    50,142.38/110,126.81 = 110,126.81/x
  3. Step 3: Cross multiply
    50,142.38x = 110,126.81 × 110,126.81
  4. Step 4: Simplify right side
    50,142.38x = 12,127,914,831.41
  5. Step 5: Solve for x
    x = 12,127,914,831.41/50,142.38
  6. Step 6: Final answer
    x = 241,869.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.