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Finding the Third Proportional to 70,596 and 155,016

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Solution

The third proportional to 70,596 and 155,016 is: 340,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,596 : 155,016 = 155,016 : x
  2. Step 2: Convert to fraction form
    70,596/155,016 = 155,016/x
  3. Step 3: Cross multiply
    70,596x = 155,016 × 155,016
  4. Step 4: Simplify right side
    70,596x = 24,029,960,256
  5. Step 5: Solve for x
    x = 24,029,960,256/70,596
  6. Step 6: Final answer
    x = 340,386.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.