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Finding the Third Proportional to 128,006 and 169,860

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Solution

The third proportional to 128,006 and 169,860 is: 225,398.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,006 : 169,860 = 169,860 : x
  2. Step 2: Convert to fraction form
    128,006/169,860 = 169,860/x
  3. Step 3: Cross multiply
    128,006x = 169,860 × 169,860
  4. Step 4: Simplify right side
    128,006x = 28,852,419,600
  5. Step 5: Solve for x
    x = 28,852,419,600/128,006
  6. Step 6: Final answer
    x = 225,398.96

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.