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Finding the Third Proportional to 100,820 and 150,252

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Solution

The third proportional to 100,820 and 150,252 is: 223,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,820 : 150,252 = 150,252 : x
  2. Step 2: Convert to fraction form
    100,820/150,252 = 150,252/x
  3. Step 3: Cross multiply
    100,820x = 150,252 × 150,252
  4. Step 4: Simplify right side
    100,820x = 22,575,663,504
  5. Step 5: Solve for x
    x = 22,575,663,504/100,820
  6. Step 6: Final answer
    x = 223,920.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.