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Finding the Third Proportional to 117,036 and 171,388

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Solution

The third proportional to 117,036 and 171,388 is: 250,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,036 : 171,388 = 171,388 : x
  2. Step 2: Convert to fraction form
    117,036/171,388 = 171,388/x
  3. Step 3: Cross multiply
    117,036x = 171,388 × 171,388
  4. Step 4: Simplify right side
    117,036x = 29,373,846,544
  5. Step 5: Solve for x
    x = 29,373,846,544/117,036
  6. Step 6: Final answer
    x = 250,981.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.