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Finding the Third Proportional to 58,704 and 127,884

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Solution

The third proportional to 58,704 and 127,884 is: 278,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,704 : 127,884 = 127,884 : x
  2. Step 2: Convert to fraction form
    58,704/127,884 = 127,884/x
  3. Step 3: Cross multiply
    58,704x = 127,884 × 127,884
  4. Step 4: Simplify right side
    58,704x = 16,354,317,456
  5. Step 5: Solve for x
    x = 16,354,317,456/58,704
  6. Step 6: Final answer
    x = 278,589.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.