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Finding the Third Proportional to 67,280 and 142,760

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Solution

The third proportional to 67,280 and 142,760 is: 302,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,280 : 142,760 = 142,760 : x
  2. Step 2: Convert to fraction form
    67,280/142,760 = 142,760/x
  3. Step 3: Cross multiply
    67,280x = 142,760 × 142,760
  4. Step 4: Simplify right side
    67,280x = 20,380,417,600
  5. Step 5: Solve for x
    x = 20,380,417,600/67,280
  6. Step 6: Final answer
    x = 302,919.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.