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Finding the Third Proportional to 72,855 and 115,847

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Solution

The third proportional to 72,855 and 115,847 is: 184,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,855 : 115,847 = 115,847 : x
  2. Step 2: Convert to fraction form
    72,855/115,847 = 115,847/x
  3. Step 3: Cross multiply
    72,855x = 115,847 × 115,847
  4. Step 4: Simplify right side
    72,855x = 13,420,527,409
  5. Step 5: Solve for x
    x = 13,420,527,409/72,855
  6. Step 6: Final answer
    x = 184,208.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.