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Finding the Third Proportional to 77,424 and 115,832

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Solution

The third proportional to 77,424 and 115,832 is: 173,293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,424 : 115,832 = 115,832 : x
  2. Step 2: Convert to fraction form
    77,424/115,832 = 115,832/x
  3. Step 3: Cross multiply
    77,424x = 115,832 × 115,832
  4. Step 4: Simplify right side
    77,424x = 13,417,052,224
  5. Step 5: Solve for x
    x = 13,417,052,224/77,424
  6. Step 6: Final answer
    x = 173,293.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.