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Finding the Third Proportional to 117,624 and 177,894

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Solution

The third proportional to 117,624 and 177,894 is: 269,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,624 : 177,894 = 177,894 : x
  2. Step 2: Convert to fraction form
    117,624/177,894 = 177,894/x
  3. Step 3: Cross multiply
    117,624x = 177,894 × 177,894
  4. Step 4: Simplify right side
    117,624x = 31,646,275,236
  5. Step 5: Solve for x
    x = 31,646,275,236/117,624
  6. Step 6: Final answer
    x = 269,046.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.