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Finding the Third Proportional to 75,654 and 158,922

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Solution

The third proportional to 75,654 and 158,922 is: 333,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,654 : 158,922 = 158,922 : x
  2. Step 2: Convert to fraction form
    75,654/158,922 = 158,922/x
  3. Step 3: Cross multiply
    75,654x = 158,922 × 158,922
  4. Step 4: Simplify right side
    75,654x = 25,256,202,084
  5. Step 5: Solve for x
    x = 25,256,202,084/75,654
  6. Step 6: Final answer
    x = 333,838.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.