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Finding the Third Proportional to 67,273 and 152,021

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Solution

The third proportional to 67,273 and 152,021 is: 343,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,273 : 152,021 = 152,021 : x
  2. Step 2: Convert to fraction form
    67,273/152,021 = 152,021/x
  3. Step 3: Cross multiply
    67,273x = 152,021 × 152,021
  4. Step 4: Simplify right side
    67,273x = 23,110,384,441
  5. Step 5: Solve for x
    x = 23,110,384,441/67,273
  6. Step 6: Final answer
    x = 343,531.35

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.