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Finding the Third Proportional to 71,203 and 151,609

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Solution

The third proportional to 71,203 and 151,609 is: 322,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,203 : 151,609 = 151,609 : x
  2. Step 2: Convert to fraction form
    71,203/151,609 = 151,609/x
  3. Step 3: Cross multiply
    71,203x = 151,609 × 151,609
  4. Step 4: Simplify right side
    71,203x = 22,985,288,881
  5. Step 5: Solve for x
    x = 22,985,288,881/71,203
  6. Step 6: Final answer
    x = 322,813.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.