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Finding the Third Proportional to 70,150 and 105,306

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Solution

The third proportional to 70,150 and 105,306 is: 158,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,150 : 105,306 = 105,306 : x
  2. Step 2: Convert to fraction form
    70,150/105,306 = 105,306/x
  3. Step 3: Cross multiply
    70,150x = 105,306 × 105,306
  4. Step 4: Simplify right side
    70,150x = 11,089,353,636
  5. Step 5: Solve for x
    x = 11,089,353,636/70,150
  6. Step 6: Final answer
    x = 158,080.59

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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.