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Finding the Third Proportional to 73,924 and 115,832

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Solution

The third proportional to 73,924 and 115,832 is: 181,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,924 : 115,832 = 115,832 : x
  2. Step 2: Convert to fraction form
    73,924/115,832 = 115,832/x
  3. Step 3: Cross multiply
    73,924x = 115,832 × 115,832
  4. Step 4: Simplify right side
    73,924x = 13,417,052,224
  5. Step 5: Solve for x
    x = 13,417,052,224/73,924
  6. Step 6: Final answer
    x = 181,497.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.