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Finding the Third Proportional to 71,524 and 157,054

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Solution

The third proportional to 71,524 and 157,054 is: 344,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,524 : 157,054 = 157,054 : x
  2. Step 2: Convert to fraction form
    71,524/157,054 = 157,054/x
  3. Step 3: Cross multiply
    71,524x = 157,054 × 157,054
  4. Step 4: Simplify right side
    71,524x = 24,665,958,916
  5. Step 5: Solve for x
    x = 24,665,958,916/71,524
  6. Step 6: Final answer
    x = 344,862.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.