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Finding the Third Proportional to 72,896 and 115,908

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Solution

The third proportional to 72,896 and 115,908 is: 184,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,896 : 115,908 = 115,908 : x
  2. Step 2: Convert to fraction form
    72,896/115,908 = 115,908/x
  3. Step 3: Cross multiply
    72,896x = 115,908 × 115,908
  4. Step 4: Simplify right side
    72,896x = 13,434,664,464
  5. Step 5: Solve for x
    x = 13,434,664,464/72,896
  6. Step 6: Final answer
    x = 184,299.06

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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.