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Finding the Third Proportional to 57,553.45 and 135,669.94

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Solution

The third proportional to 57,553.45 and 135,669.94 is: 319,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,553.45 : 135,669.94 = 135,669.94 : x
  2. Step 2: Convert to fraction form
    57,553.45/135,669.94 = 135,669.94/x
  3. Step 3: Cross multiply
    57,553.45x = 135,669.94 × 135,669.94
  4. Step 4: Simplify right side
    57,553.45x = 18,406,331,941.25
  5. Step 5: Solve for x
    x = 18,406,331,941.25/57,553.45
  6. Step 6: Final answer
    x = 319,812.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.