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Finding the Third Proportional to 153,007 and 168,589

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Solution

The third proportional to 153,007 and 168,589 is: 185,757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,007 : 168,589 = 168,589 : x
  2. Step 2: Convert to fraction form
    153,007/168,589 = 168,589/x
  3. Step 3: Cross multiply
    153,007x = 168,589 × 168,589
  4. Step 4: Simplify right side
    153,007x = 28,422,250,921
  5. Step 5: Solve for x
    x = 28,422,250,921/153,007
  6. Step 6: Final answer
    x = 185,757.85

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.