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Finding the Third Proportional to 117,006 and 185,974

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Solution

The third proportional to 117,006 and 185,974 is: 295,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,006 : 185,974 = 185,974 : x
  2. Step 2: Convert to fraction form
    117,006/185,974 = 185,974/x
  3. Step 3: Cross multiply
    117,006x = 185,974 × 185,974
  4. Step 4: Simplify right side
    117,006x = 34,586,328,676
  5. Step 5: Solve for x
    x = 34,586,328,676/117,006
  6. Step 6: Final answer
    x = 295,594.49

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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.