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Finding the Third Proportional to 114,660 and 173,720

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Solution

The third proportional to 114,660 and 173,720 is: 263,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,660 : 173,720 = 173,720 : x
  2. Step 2: Convert to fraction form
    114,660/173,720 = 173,720/x
  3. Step 3: Cross multiply
    114,660x = 173,720 × 173,720
  4. Step 4: Simplify right side
    114,660x = 30,178,638,400
  5. Step 5: Solve for x
    x = 30,178,638,400/114,660
  6. Step 6: Final answer
    x = 263,201.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.