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Finding the Third Proportional to 72,497 and 110,912

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Solution

The third proportional to 72,497 and 110,912 is: 169,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,497 : 110,912 = 110,912 : x
  2. Step 2: Convert to fraction form
    72,497/110,912 = 110,912/x
  3. Step 3: Cross multiply
    72,497x = 110,912 × 110,912
  4. Step 4: Simplify right side
    72,497x = 12,301,471,744
  5. Step 5: Solve for x
    x = 12,301,471,744/72,497
  6. Step 6: Final answer
    x = 169,682.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.