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Finding the Third Proportional to 55,708 and 113,575

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Solution

The third proportional to 55,708 and 113,575 is: 231,551.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,708 : 113,575 = 113,575 : x
  2. Step 2: Convert to fraction form
    55,708/113,575 = 113,575/x
  3. Step 3: Cross multiply
    55,708x = 113,575 × 113,575
  4. Step 4: Simplify right side
    55,708x = 12,899,280,625
  5. Step 5: Solve for x
    x = 12,899,280,625/55,708
  6. Step 6: Final answer
    x = 231,551.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.