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Finding the Third Proportional to 102,396 and 158,922

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Solution

The third proportional to 102,396 and 158,922 is: 246,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,396 : 158,922 = 158,922 : x
  2. Step 2: Convert to fraction form
    102,396/158,922 = 158,922/x
  3. Step 3: Cross multiply
    102,396x = 158,922 × 158,922
  4. Step 4: Simplify right side
    102,396x = 25,256,202,084
  5. Step 5: Solve for x
    x = 25,256,202,084/102,396
  6. Step 6: Final answer
    x = 246,652.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.