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Finding the Third Proportional to 68,536 and 149,492

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Solution

The third proportional to 68,536 and 149,492 is: 326,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,536 : 149,492 = 149,492 : x
  2. Step 2: Convert to fraction form
    68,536/149,492 = 149,492/x
  3. Step 3: Cross multiply
    68,536x = 149,492 × 149,492
  4. Step 4: Simplify right side
    68,536x = 22,347,858,064
  5. Step 5: Solve for x
    x = 22,347,858,064/68,536
  6. Step 6: Final answer
    x = 326,074.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.