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Finding the Third Proportional to 115,564 and 183,874

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Solution

The third proportional to 115,564 and 183,874 is: 292,562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,564 : 183,874 = 183,874 : x
  2. Step 2: Convert to fraction form
    115,564/183,874 = 183,874/x
  3. Step 3: Cross multiply
    115,564x = 183,874 × 183,874
  4. Step 4: Simplify right side
    115,564x = 33,809,647,876
  5. Step 5: Solve for x
    x = 33,809,647,876/115,564
  6. Step 6: Final answer
    x = 292,562.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.