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Finding the Third Proportional to 60,711 and 123,828

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Solution

The third proportional to 60,711 and 123,828 is: 252,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,711 : 123,828 = 123,828 : x
  2. Step 2: Convert to fraction form
    60,711/123,828 = 123,828/x
  3. Step 3: Cross multiply
    60,711x = 123,828 × 123,828
  4. Step 4: Simplify right side
    60,711x = 15,333,373,584
  5. Step 5: Solve for x
    x = 15,333,373,584/60,711
  6. Step 6: Final answer
    x = 252,563.35

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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.