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Finding the Third Proportional to 117,009 and 187,420

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Solution

The third proportional to 117,009 and 187,420 is: 300,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,009 : 187,420 = 187,420 : x
  2. Step 2: Convert to fraction form
    117,009/187,420 = 187,420/x
  3. Step 3: Cross multiply
    117,009x = 187,420 × 187,420
  4. Step 4: Simplify right side
    117,009x = 35,126,256,400
  5. Step 5: Solve for x
    x = 35,126,256,400/117,009
  6. Step 6: Final answer
    x = 300,201.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.