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Finding the Third Proportional to 58,704 and 126,912

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Solution

The third proportional to 58,704 and 126,912 is: 274,370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,704 : 126,912 = 126,912 : x
  2. Step 2: Convert to fraction form
    58,704/126,912 = 126,912/x
  3. Step 3: Cross multiply
    58,704x = 126,912 × 126,912
  4. Step 4: Simplify right side
    58,704x = 16,106,655,744
  5. Step 5: Solve for x
    x = 16,106,655,744/58,704
  6. Step 6: Final answer
    x = 274,370.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.