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Finding the Third Proportional to 72,047 and 115,759

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Solution

The third proportional to 72,047 and 115,759 is: 185,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,047 : 115,759 = 115,759 : x
  2. Step 2: Convert to fraction form
    72,047/115,759 = 115,759/x
  3. Step 3: Cross multiply
    72,047x = 115,759 × 115,759
  4. Step 4: Simplify right side
    72,047x = 13,400,146,081
  5. Step 5: Solve for x
    x = 13,400,146,081/72,047
  6. Step 6: Final answer
    x = 185,991.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.