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Finding the Third Proportional to 72,832 and 97,874

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Solution

The third proportional to 72,832 and 97,874 is: 131,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,832 : 97,874 = 97,874 : x
  2. Step 2: Convert to fraction form
    72,832/97,874 = 97,874/x
  3. Step 3: Cross multiply
    72,832x = 97,874 × 97,874
  4. Step 4: Simplify right side
    72,832x = 9,579,319,876
  5. Step 5: Solve for x
    x = 9,579,319,876/72,832
  6. Step 6: Final answer
    x = 131,526.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.