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Finding the Third Proportional to 58,566 and 127,734

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Solution

The third proportional to 58,566 and 127,734 is: 278,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,566 : 127,734 = 127,734 : x
  2. Step 2: Convert to fraction form
    58,566/127,734 = 127,734/x
  3. Step 3: Cross multiply
    58,566x = 127,734 × 127,734
  4. Step 4: Simplify right side
    58,566x = 16,315,974,756
  5. Step 5: Solve for x
    x = 16,315,974,756/58,566
  6. Step 6: Final answer
    x = 278,591.24

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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.