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Finding the Third Proportional to 57,628.13 and 133,363.13

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Solution

The third proportional to 57,628.13 and 133,363.13 is: 308,629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,628.13 : 133,363.13 = 133,363.13 : x
  2. Step 2: Convert to fraction form
    57,628.13/133,363.13 = 133,363.13/x
  3. Step 3: Cross multiply
    57,628.13x = 133,363.13 × 133,363.13
  4. Step 4: Simplify right side
    57,628.13x = 17,785,723,109.77
  5. Step 5: Solve for x
    x = 17,785,723,109.77/57,628.13
  6. Step 6: Final answer
    x = 308,629.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.