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Finding the Third Proportional to 67,084 and 138,486

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Solution

The third proportional to 67,084 and 138,486 is: 285,885.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,084 : 138,486 = 138,486 : x
  2. Step 2: Convert to fraction form
    67,084/138,486 = 138,486/x
  3. Step 3: Cross multiply
    67,084x = 138,486 × 138,486
  4. Step 4: Simplify right side
    67,084x = 19,178,372,196
  5. Step 5: Solve for x
    x = 19,178,372,196/67,084
  6. Step 6: Final answer
    x = 285,885.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.