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Finding the Third Proportional to 50,445.28 and 108,135

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Solution

The third proportional to 50,445.28 and 108,135 is: 231,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,445.28 : 108,135 = 108,135 : x
  2. Step 2: Convert to fraction form
    50,445.28/108,135 = 108,135/x
  3. Step 3: Cross multiply
    50,445.28x = 108,135 × 108,135
  4. Step 4: Simplify right side
    50,445.28x = 11,693,178,225
  5. Step 5: Solve for x
    x = 11,693,178,225/50,445.28
  6. Step 6: Final answer
    x = 231,799.25

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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.