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Finding the Third Proportional to 76,944 and 115,107

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Solution

The third proportional to 76,944 and 115,107 is: 172,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,944 : 115,107 = 115,107 : x
  2. Step 2: Convert to fraction form
    76,944/115,107 = 115,107/x
  3. Step 3: Cross multiply
    76,944x = 115,107 × 115,107
  4. Step 4: Simplify right side
    76,944x = 13,249,621,449
  5. Step 5: Solve for x
    x = 13,249,621,449/76,944
  6. Step 6: Final answer
    x = 172,198.24

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