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Finding the Third Proportional to 67,056 and 139,624

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Solution

The third proportional to 67,056 and 139,624 is: 290,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,056 : 139,624 = 139,624 : x
  2. Step 2: Convert to fraction form
    67,056/139,624 = 139,624/x
  3. Step 3: Cross multiply
    67,056x = 139,624 × 139,624
  4. Step 4: Simplify right side
    67,056x = 19,494,861,376
  5. Step 5: Solve for x
    x = 19,494,861,376/67,056
  6. Step 6: Final answer
    x = 290,725.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.