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Finding the Third Proportional to 103,471 and 160,273

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Solution

The third proportional to 103,471 and 160,273 is: 248,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,471 : 160,273 = 160,273 : x
  2. Step 2: Convert to fraction form
    103,471/160,273 = 160,273/x
  3. Step 3: Cross multiply
    103,471x = 160,273 × 160,273
  4. Step 4: Simplify right side
    103,471x = 25,687,434,529
  5. Step 5: Solve for x
    x = 25,687,434,529/103,471
  6. Step 6: Final answer
    x = 248,257.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.