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Finding the Third Proportional to 55,710 and 113,579

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Solution

The third proportional to 55,710 and 113,579 is: 231,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,710 : 113,579 = 113,579 : x
  2. Step 2: Convert to fraction form
    55,710/113,579 = 113,579/x
  3. Step 3: Cross multiply
    55,710x = 113,579 × 113,579
  4. Step 4: Simplify right side
    55,710x = 12,900,189,241
  5. Step 5: Solve for x
    x = 12,900,189,241/55,710
  6. Step 6: Final answer
    x = 231,559.67

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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.