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Finding the Third Proportional to 71,553.38 and 155,408.63

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Solution

The third proportional to 71,553.38 and 155,408.63 is: 337,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,553.38 : 155,408.63 = 155,408.63 : x
  2. Step 2: Convert to fraction form
    71,553.38/155,408.63 = 155,408.63/x
  3. Step 3: Cross multiply
    71,553.38x = 155,408.63 × 155,408.63
  4. Step 4: Simplify right side
    71,553.38x = 24,151,840,724.39
  5. Step 5: Solve for x
    x = 24,151,840,724.39/71,553.38
  6. Step 6: Final answer
    x = 337,536.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.