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Finding the Third Proportional to 67,027 and 147,337

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Solution

The third proportional to 67,027 and 147,337 is: 323,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,027 : 147,337 = 147,337 : x
  2. Step 2: Convert to fraction form
    67,027/147,337 = 147,337/x
  3. Step 3: Cross multiply
    67,027x = 147,337 × 147,337
  4. Step 4: Simplify right side
    67,027x = 21,708,191,569
  5. Step 5: Solve for x
    x = 21,708,191,569/67,027
  6. Step 6: Final answer
    x = 323,872.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.