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Finding the Third Proportional to 87,492 and 183,300

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Solution

The third proportional to 87,492 and 183,300 is: 384,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,492 : 183,300 = 183,300 : x
  2. Step 2: Convert to fraction form
    87,492/183,300 = 183,300/x
  3. Step 3: Cross multiply
    87,492x = 183,300 × 183,300
  4. Step 4: Simplify right side
    87,492x = 33,598,890,000
  5. Step 5: Solve for x
    x = 33,598,890,000/87,492
  6. Step 6: Final answer
    x = 384,022.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.