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Finding the Third Proportional to 71,832 and 157,040

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Solution

The third proportional to 71,832 and 157,040 is: 343,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,832 : 157,040 = 157,040 : x
  2. Step 2: Convert to fraction form
    71,832/157,040 = 157,040/x
  3. Step 3: Cross multiply
    71,832x = 157,040 × 157,040
  4. Step 4: Simplify right side
    71,832x = 24,661,561,600
  5. Step 5: Solve for x
    x = 24,661,561,600/71,832
  6. Step 6: Final answer
    x = 343,322.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.