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Finding the Third Proportional to 70,797 and 152,085

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Solution

The third proportional to 70,797 and 152,085 is: 326,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,797 : 152,085 = 152,085 : x
  2. Step 2: Convert to fraction form
    70,797/152,085 = 152,085/x
  3. Step 3: Cross multiply
    70,797x = 152,085 × 152,085
  4. Step 4: Simplify right side
    70,797x = 23,129,847,225
  5. Step 5: Solve for x
    x = 23,129,847,225/70,797
  6. Step 6: Final answer
    x = 326,706.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.