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Finding the Third Proportional to 105,992 and 153,273

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Solution

The third proportional to 105,992 and 153,273 is: 221,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,992 : 153,273 = 153,273 : x
  2. Step 2: Convert to fraction form
    105,992/153,273 = 153,273/x
  3. Step 3: Cross multiply
    105,992x = 153,273 × 153,273
  4. Step 4: Simplify right side
    105,992x = 23,492,612,529
  5. Step 5: Solve for x
    x = 23,492,612,529/105,992
  6. Step 6: Final answer
    x = 221,645.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.