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Finding the Third Proportional to 55,408.50 and 133,582.50

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Solution

The third proportional to 55,408.50 and 133,582.50 is: 322,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,408.50 : 133,582.50 = 133,582.50 : x
  2. Step 2: Convert to fraction form
    55,408.50/133,582.50 = 133,582.50/x
  3. Step 3: Cross multiply
    55,408.50x = 133,582.50 × 133,582.50
  4. Step 4: Simplify right side
    55,408.50x = 17,844,284,306.25
  5. Step 5: Solve for x
    x = 17,844,284,306.25/55,408.50
  6. Step 6: Final answer
    x = 322,049.58

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.