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Finding the Third Proportional to 68,524 and 149,466

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Solution

The third proportional to 68,524 and 149,466 is: 326,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,524 : 149,466 = 149,466 : x
  2. Step 2: Convert to fraction form
    68,524/149,466 = 149,466/x
  3. Step 3: Cross multiply
    68,524x = 149,466 × 149,466
  4. Step 4: Simplify right side
    68,524x = 22,340,085,156
  5. Step 5: Solve for x
    x = 22,340,085,156/68,524
  6. Step 6: Final answer
    x = 326,018.40

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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.