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Finding the Third Proportional to 75,108.94 and 116,971.59

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Solution

The third proportional to 75,108.94 and 116,971.59 is: 182,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,108.94 : 116,971.59 = 116,971.59 : x
  2. Step 2: Convert to fraction form
    75,108.94/116,971.59 = 116,971.59/x
  3. Step 3: Cross multiply
    75,108.94x = 116,971.59 × 116,971.59
  4. Step 4: Simplify right side
    75,108.94x = 13,682,353,744.42
  5. Step 5: Solve for x
    x = 13,682,353,744.42/75,108.94
  6. Step 6: Final answer
    x = 182,166.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.