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Finding the Third Proportional to 104,492 and 149,367

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Solution

The third proportional to 104,492 and 149,367 is: 213,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,492 : 149,367 = 149,367 : x
  2. Step 2: Convert to fraction form
    104,492/149,367 = 149,367/x
  3. Step 3: Cross multiply
    104,492x = 149,367 × 149,367
  4. Step 4: Simplify right side
    104,492x = 22,310,500,689
  5. Step 5: Solve for x
    x = 22,310,500,689/104,492
  6. Step 6: Final answer
    x = 213,513.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.