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Finding the Third Proportional to 75,132 and 109,170

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Solution

The third proportional to 75,132 and 109,170 is: 158,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,132 : 109,170 = 109,170 : x
  2. Step 2: Convert to fraction form
    75,132/109,170 = 109,170/x
  3. Step 3: Cross multiply
    75,132x = 109,170 × 109,170
  4. Step 4: Simplify right side
    75,132x = 11,918,088,900
  5. Step 5: Solve for x
    x = 11,918,088,900/75,132
  6. Step 6: Final answer
    x = 158,628.67

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.