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Finding the Third Proportional to 55,728 and 87,408

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Solution

The third proportional to 55,728 and 87,408 is: 137,097.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,728 : 87,408 = 87,408 : x
  2. Step 2: Convert to fraction form
    55,728/87,408 = 87,408/x
  3. Step 3: Cross multiply
    55,728x = 87,408 × 87,408
  4. Step 4: Simplify right side
    55,728x = 7,640,158,464
  5. Step 5: Solve for x
    x = 7,640,158,464/55,728
  6. Step 6: Final answer
    x = 137,097.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.