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Finding the Third Proportional to 87,948 and 183,894

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Solution

The third proportional to 87,948 and 183,894 is: 384,511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,948 : 183,894 = 183,894 : x
  2. Step 2: Convert to fraction form
    87,948/183,894 = 183,894/x
  3. Step 3: Cross multiply
    87,948x = 183,894 × 183,894
  4. Step 4: Simplify right side
    87,948x = 33,817,003,236
  5. Step 5: Solve for x
    x = 33,817,003,236/87,948
  6. Step 6: Final answer
    x = 384,511.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.