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Finding the Third Proportional to 118,110 and 159,669

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Solution

The third proportional to 118,110 and 159,669 is: 215,851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,110 : 159,669 = 159,669 : x
  2. Step 2: Convert to fraction form
    118,110/159,669 = 159,669/x
  3. Step 3: Cross multiply
    118,110x = 159,669 × 159,669
  4. Step 4: Simplify right side
    118,110x = 25,494,189,561
  5. Step 5: Solve for x
    x = 25,494,189,561/118,110
  6. Step 6: Final answer
    x = 215,851.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.